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Finding the Fourth Proportional to 10,476.80, 15,712.76 and 3,079.27

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Solution

The fourth proportional to 10,476.80, 15,712.76 and 3,079.27 is: 4,618.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.80 : 15,712.76 = 3,079.27 : x
  2. Step 2: Convert to fraction form
    10,476.80/15,712.76 = 3,079.27/x
  3. Step 3: Cross multiply
    10,476.80x = 15,712.76 × 3,079.27
  4. Step 4: Simplify right side
    10,476.80x = 48,383,830.49
  5. Step 5: Solve for x
    x = 48,383,830.49/10,476.80
  6. Step 6: Final answer
    x = 4,618.19

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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.