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Finding the Fourth Proportional to 15,425.84, 21,287.86 and 9,137

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Solution

The fourth proportional to 15,425.84, 21,287.86 and 9,137 is: 12,609.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,425.84 : 21,287.86 = 9,137 : x
  2. Step 2: Convert to fraction form
    15,425.84/21,287.86 = 9,137/x
  3. Step 3: Cross multiply
    15,425.84x = 21,287.86 × 9,137
  4. Step 4: Simplify right side
    15,425.84x = 194,507,176.82
  5. Step 5: Solve for x
    x = 194,507,176.82/15,425.84
  6. Step 6: Final answer
    x = 12,609.18

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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.