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Finding the Fourth Proportional to 6,490.80, 9,721.80 and 5,025.20

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Solution

The fourth proportional to 6,490.80, 9,721.80 and 5,025.20 is: 7,526.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.80 : 9,721.80 = 5,025.20 : x
  2. Step 2: Convert to fraction form
    6,490.80/9,721.80 = 5,025.20/x
  3. Step 3: Cross multiply
    6,490.80x = 9,721.80 × 5,025.20
  4. Step 4: Simplify right side
    6,490.80x = 48,853,989.36
  5. Step 5: Solve for x
    x = 48,853,989.36/6,490.80
  6. Step 6: Final answer
    x = 7,526.65

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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.