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Finding the Fourth Proportional to 15,687, 23,538.60 and 10,425.65

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Solution

The fourth proportional to 15,687, 23,538.60 and 10,425.65 is: 15,643.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,687 : 23,538.60 = 10,425.65 : x
  2. Step 2: Convert to fraction form
    15,687/23,538.60 = 10,425.65/x
  3. Step 3: Cross multiply
    15,687x = 23,538.60 × 10,425.65
  4. Step 4: Simplify right side
    15,687x = 245,405,087.40
  5. Step 5: Solve for x
    x = 245,405,087.40/15,687
  6. Step 6: Final answer
    x = 15,643.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.