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Finding the Fourth Proportional to 6,721.56, 9,275.72 and 3,737.22

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Solution

The fourth proportional to 6,721.56, 9,275.72 and 3,737.22 is: 5,157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,721.56 : 9,275.72 = 3,737.22 : x
  2. Step 2: Convert to fraction form
    6,721.56/9,275.72 = 3,737.22/x
  3. Step 3: Cross multiply
    6,721.56x = 9,275.72 × 3,737.22
  4. Step 4: Simplify right side
    6,721.56x = 34,665,359.92
  5. Step 5: Solve for x
    x = 34,665,359.92/6,721.56
  6. Step 6: Final answer
    x = 5,157.34

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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.