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Finding the Fourth Proportional to 7,157.30, 9,872.07 and 6,916.46

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Solution

The fourth proportional to 7,157.30, 9,872.07 and 6,916.46 is: 9,539.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.30 : 9,872.07 = 6,916.46 : x
  2. Step 2: Convert to fraction form
    7,157.30/9,872.07 = 6,916.46/x
  3. Step 3: Cross multiply
    7,157.30x = 9,872.07 × 6,916.46
  4. Step 4: Simplify right side
    7,157.30x = 68,279,727.91
  5. Step 5: Solve for x
    x = 68,279,727.91/7,157.30
  6. Step 6: Final answer
    x = 9,539.88

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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.