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Finding the Fourth Proportional to 38,071, 52,538.16 and 21,304

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Solution

The fourth proportional to 38,071, 52,538.16 and 21,304 is: 29,399.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,071 : 52,538.16 = 21,304 : x
  2. Step 2: Convert to fraction form
    38,071/52,538.16 = 21,304/x
  3. Step 3: Cross multiply
    38,071x = 52,538.16 × 21,304
  4. Step 4: Simplify right side
    38,071x = 1,119,272,960.64
  5. Step 5: Solve for x
    x = 1,119,272,960.64/38,071
  6. Step 6: Final answer
    x = 29,399.62

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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.