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Finding the Fourth Proportional to 7,312.80, 10,972.80 and 5,557.20

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Solution

The fourth proportional to 7,312.80, 10,972.80 and 5,557.20 is: 8,338.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.80 : 10,972.80 = 5,557.20 : x
  2. Step 2: Convert to fraction form
    7,312.80/10,972.80 = 5,557.20/x
  3. Step 3: Cross multiply
    7,312.80x = 10,972.80 × 5,557.20
  4. Step 4: Simplify right side
    7,312.80x = 60,978,044.16
  5. Step 5: Solve for x
    x = 60,978,044.16/7,312.80
  6. Step 6: Final answer
    x = 8,338.54

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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.