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Finding the Fourth Proportional to 7,147.56, 9,861.66 and 5,966.76

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Solution

The fourth proportional to 7,147.56, 9,861.66 and 5,966.76 is: 8,232.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.56 : 9,861.66 = 5,966.76 : x
  2. Step 2: Convert to fraction form
    7,147.56/9,861.66 = 5,966.76/x
  3. Step 3: Cross multiply
    7,147.56x = 9,861.66 × 5,966.76
  4. Step 4: Simplify right side
    7,147.56x = 58,842,158.42
  5. Step 5: Solve for x
    x = 58,842,158.42/7,147.56
  6. Step 6: Final answer
    x = 8,232.48

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Double scale
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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.