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Finding the Fourth Proportional to 38,301, 52,855.38 and 21,534

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Solution

The fourth proportional to 38,301, 52,855.38 and 21,534 is: 29,716.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,301 : 52,855.38 = 21,534 : x
  2. Step 2: Convert to fraction form
    38,301/52,855.38 = 21,534/x
  3. Step 3: Cross multiply
    38,301x = 52,855.38 × 21,534
  4. Step 4: Simplify right side
    38,301x = 1,138,187,752.92
  5. Step 5: Solve for x
    x = 1,138,187,752.92/38,301
  6. Step 6: Final answer
    x = 29,716.92

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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.