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Finding the Fourth Proportional to 5,275.72, 7,913.40 and 1,380.13

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Solution

The fourth proportional to 5,275.72, 7,913.40 and 1,380.13 is: 2,070.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,275.72 : 7,913.40 = 1,380.13 : x
  2. Step 2: Convert to fraction form
    5,275.72/7,913.40 = 1,380.13/x
  3. Step 3: Cross multiply
    5,275.72x = 7,913.40 × 1,380.13
  4. Step 4: Simplify right side
    5,275.72x = 10,921,520.74
  5. Step 5: Solve for x
    x = 10,921,520.74/5,275.72
  6. Step 6: Final answer
    x = 2,070.15

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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.