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Finding the Fourth Proportional to 39,128, 58,700.64 and 14,504

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Solution

The fourth proportional to 39,128, 58,700.64 and 14,504 is: 21,759.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,128 : 58,700.64 = 14,504 : x
  2. Step 2: Convert to fraction form
    39,128/58,700.64 = 14,504/x
  3. Step 3: Cross multiply
    39,128x = 58,700.64 × 14,504
  4. Step 4: Simplify right side
    39,128x = 851,394,082.56
  5. Step 5: Solve for x
    x = 851,394,082.56/39,128
  6. Step 6: Final answer
    x = 21,759.20

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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.