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Finding the Fourth Proportional to 11,382, 15,711.48 and 7,658.16

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Solution

The fourth proportional to 11,382, 15,711.48 and 7,658.16 is: 10,571.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382 : 15,711.48 = 7,658.16 : x
  2. Step 2: Convert to fraction form
    11,382/15,711.48 = 7,658.16/x
  3. Step 3: Cross multiply
    11,382x = 15,711.48 × 7,658.16
  4. Step 4: Simplify right side
    11,382x = 120,321,027.68
  5. Step 5: Solve for x
    x = 120,321,027.68/11,382
  6. Step 6: Final answer
    x = 10,571.17

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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.