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Finding the Fourth Proportional to 38,696.76, 53,402.13 and 21,704.78

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Solution

The fourth proportional to 38,696.76, 53,402.13 and 21,704.78 is: 29,952.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,696.76 : 53,402.13 = 21,704.78 : x
  2. Step 2: Convert to fraction form
    38,696.76/53,402.13 = 21,704.78/x
  3. Step 3: Cross multiply
    38,696.76x = 53,402.13 × 21,704.78
  4. Step 4: Simplify right side
    38,696.76x = 1,159,081,216.17
  5. Step 5: Solve for x
    x = 1,159,081,216.17/38,696.76
  6. Step 6: Final answer
    x = 29,952.93

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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.