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Finding the Fourth Proportional to 38,992.66, 53,785.10 and 25,564.78

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Solution

The fourth proportional to 38,992.66, 53,785.10 and 25,564.78 is: 35,263.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,992.66 : 53,785.10 = 25,564.78 : x
  2. Step 2: Convert to fraction form
    38,992.66/53,785.10 = 25,564.78/x
  3. Step 3: Cross multiply
    38,992.66x = 53,785.10 × 25,564.78
  4. Step 4: Simplify right side
    38,992.66x = 1,375,004,120.95
  5. Step 5: Solve for x
    x = 1,375,004,120.95/38,992.66
  6. Step 6: Final answer
    x = 35,263.16

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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.