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Finding the Fourth Proportional to 38,053, 57,079.68 and 13,429

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Solution

The fourth proportional to 38,053, 57,079.68 and 13,429 is: 20,143.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,053 : 57,079.68 = 13,429 : x
  2. Step 2: Convert to fraction form
    38,053/57,079.68 = 13,429/x
  3. Step 3: Cross multiply
    38,053x = 57,079.68 × 13,429
  4. Step 4: Simplify right side
    38,053x = 766,523,022.72
  5. Step 5: Solve for x
    x = 766,523,022.72/38,053
  6. Step 6: Final answer
    x = 20,143.56

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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.