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Finding the Fourth Proportional to 12,382.90, 17,085.39 and 7,537.61

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Solution

The fourth proportional to 12,382.90, 17,085.39 and 7,537.61 is: 10,400.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.90 : 17,085.39 = 7,537.61 : x
  2. Step 2: Convert to fraction form
    12,382.90/17,085.39 = 7,537.61/x
  3. Step 3: Cross multiply
    12,382.90x = 17,085.39 × 7,537.61
  4. Step 4: Simplify right side
    12,382.90x = 128,783,006.52
  5. Step 5: Solve for x
    x = 128,783,006.52/12,382.90
  6. Step 6: Final answer
    x = 10,400.07

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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.