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Finding the Fourth Proportional to 38,368, 52,948.92 and 21,601

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Solution

The fourth proportional to 38,368, 52,948.92 and 21,601 is: 29,809.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,368 : 52,948.92 = 21,601 : x
  2. Step 2: Convert to fraction form
    38,368/52,948.92 = 21,601/x
  3. Step 3: Cross multiply
    38,368x = 52,948.92 × 21,601
  4. Step 4: Simplify right side
    38,368x = 1,143,749,620.92
  5. Step 5: Solve for x
    x = 1,143,749,620.92/38,368
  6. Step 6: Final answer
    x = 29,809.99

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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.