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Finding the Fourth Proportional to 10,520.80, 15,767.80 and 5,592.80

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Solution

The fourth proportional to 10,520.80, 15,767.80 and 5,592.80 is: 8,382.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.80 : 15,767.80 = 5,592.80 : x
  2. Step 2: Convert to fraction form
    10,520.80/15,767.80 = 5,592.80/x
  3. Step 3: Cross multiply
    10,520.80x = 15,767.80 × 5,592.80
  4. Step 4: Simplify right side
    10,520.80x = 88,186,151.84
  5. Step 5: Solve for x
    x = 88,186,151.84/10,520.80
  6. Step 6: Final answer
    x = 8,382.08

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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.