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Finding the Fourth Proportional to 12,530, 17,287.10 and 7,148.57

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Solution

The fourth proportional to 12,530, 17,287.10 and 7,148.57 is: 9,862.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,530 : 17,287.10 = 7,148.57 : x
  2. Step 2: Convert to fraction form
    12,530/17,287.10 = 7,148.57/x
  3. Step 3: Cross multiply
    12,530x = 17,287.10 × 7,148.57
  4. Step 4: Simplify right side
    12,530x = 123,578,044.45
  5. Step 5: Solve for x
    x = 123,578,044.45/12,530
  6. Step 6: Final answer
    x = 9,862.57

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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.