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Finding the Fourth Proportional to 30,572.64, 42,192 and 17,148.20

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Solution

The fourth proportional to 30,572.64, 42,192 and 17,148.20 is: 23,665.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,572.64 : 42,192 = 17,148.20 : x
  2. Step 2: Convert to fraction form
    30,572.64/42,192 = 17,148.20/x
  3. Step 3: Cross multiply
    30,572.64x = 42,192 × 17,148.20
  4. Step 4: Simplify right side
    30,572.64x = 723,516,854.40
  5. Step 5: Solve for x
    x = 723,516,854.40/30,572.64
  6. Step 6: Final answer
    x = 23,665.50

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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.