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Finding the Fourth Proportional to 6,521.76, 9,000.24 and 3,727.20

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Solution

The fourth proportional to 6,521.76, 9,000.24 and 3,727.20 is: 5,143.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.76 : 9,000.24 = 3,727.20 : x
  2. Step 2: Convert to fraction form
    6,521.76/9,000.24 = 3,727.20/x
  3. Step 3: Cross multiply
    6,521.76x = 9,000.24 × 3,727.20
  4. Step 4: Simplify right side
    6,521.76x = 33,545,694.53
  5. Step 5: Solve for x
    x = 33,545,694.53/6,521.76
  6. Step 6: Final answer
    x = 5,143.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.