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Finding the Fourth Proportional to 10,408.78, 14,370.06 and 6,882.22

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Solution

The fourth proportional to 10,408.78, 14,370.06 and 6,882.22 is: 9,501.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.78 : 14,370.06 = 6,882.22 : x
  2. Step 2: Convert to fraction form
    10,408.78/14,370.06 = 6,882.22/x
  3. Step 3: Cross multiply
    10,408.78x = 14,370.06 × 6,882.22
  4. Step 4: Simplify right side
    10,408.78x = 98,897,914.33
  5. Step 5: Solve for x
    x = 98,897,914.33/10,408.78
  6. Step 6: Final answer
    x = 9,501.39

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.