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Finding the Fourth Proportional to 10,842.78, 16,264.22 and 3,346.25

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Solution

The fourth proportional to 10,842.78, 16,264.22 and 3,346.25 is: 5,019.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.78 : 16,264.22 = 3,346.25 : x
  2. Step 2: Convert to fraction form
    10,842.78/16,264.22 = 3,346.25/x
  3. Step 3: Cross multiply
    10,842.78x = 16,264.22 × 3,346.25
  4. Step 4: Simplify right side
    10,842.78x = 54,424,146.18
  5. Step 5: Solve for x
    x = 54,424,146.18/10,842.78
  6. Step 6: Final answer
    x = 5,019.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.