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Finding the Fourth Proportional to 11,393.45, 15,722.42 and 8,408.19

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Solution

The fourth proportional to 11,393.45, 15,722.42 and 8,408.19 is: 11,602.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,393.45 : 15,722.42 = 8,408.19 : x
  2. Step 2: Convert to fraction form
    11,393.45/15,722.42 = 8,408.19/x
  3. Step 3: Cross multiply
    11,393.45x = 15,722.42 × 8,408.19
  4. Step 4: Simplify right side
    11,393.45x = 132,197,094.62
  5. Step 5: Solve for x
    x = 132,197,094.62/11,393.45
  6. Step 6: Final answer
    x = 11,602.90

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Double scale
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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.