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Finding the Fourth Proportional to 38,502.71, 53,133.17 and 21,507.20

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Solution

The fourth proportional to 38,502.71, 53,133.17 and 21,507.20 is: 29,679.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,502.71 : 53,133.17 = 21,507.20 : x
  2. Step 2: Convert to fraction form
    38,502.71/53,133.17 = 21,507.20/x
  3. Step 3: Cross multiply
    38,502.71x = 53,133.17 × 21,507.20
  4. Step 4: Simplify right side
    38,502.71x = 1,142,745,739.12
  5. Step 5: Solve for x
    x = 1,142,745,739.12/38,502.71
  6. Step 6: Final answer
    x = 29,679.62

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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.