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Finding the Fourth Proportional to 10,520.80, 15,773.20 and 5,330.40

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Solution

The fourth proportional to 10,520.80, 15,773.20 and 5,330.40 is: 7,991.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.80 : 15,773.20 = 5,330.40 : x
  2. Step 2: Convert to fraction form
    10,520.80/15,773.20 = 5,330.40/x
  3. Step 3: Cross multiply
    10,520.80x = 15,773.20 × 5,330.40
  4. Step 4: Simplify right side
    10,520.80x = 84,077,465.28
  5. Step 5: Solve for x
    x = 84,077,465.28/10,520.80
  6. Step 6: Final answer
    x = 7,991.55

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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.