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Finding the Fourth Proportional to 10,616.92, 15,910.27 and 7,821.61

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Solution

The fourth proportional to 10,616.92, 15,910.27 and 7,821.61 is: 11,721.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.92 : 15,910.27 = 7,821.61 : x
  2. Step 2: Convert to fraction form
    10,616.92/15,910.27 = 7,821.61/x
  3. Step 3: Cross multiply
    10,616.92x = 15,910.27 × 7,821.61
  4. Step 4: Simplify right side
    10,616.92x = 124,443,808.28
  5. Step 5: Solve for x
    x = 124,443,808.28/10,616.92
  6. Step 6: Final answer
    x = 11,721.28

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1.5x scale

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.