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Finding the Fourth Proportional to 19,813.28, 29,719.92 and 9,432.32

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Solution

The fourth proportional to 19,813.28, 29,719.92 and 9,432.32 is: 14,148.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,813.28 : 29,719.92 = 9,432.32 : x
  2. Step 2: Convert to fraction form
    19,813.28/29,719.92 = 9,432.32/x
  3. Step 3: Cross multiply
    19,813.28x = 29,719.92 × 9,432.32
  4. Step 4: Simplify right side
    19,813.28x = 280,327,795.81
  5. Step 5: Solve for x
    x = 280,327,795.81/19,813.28
  6. Step 6: Final answer
    x = 14,148.48

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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.