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Finding the Fourth Proportional to 7,153.15, 9,871.17 and 3,966.46

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Solution

The fourth proportional to 7,153.15, 9,871.17 and 3,966.46 is: 5,473.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.15 : 9,871.17 = 3,966.46 : x
  2. Step 2: Convert to fraction form
    7,153.15/9,871.17 = 3,966.46/x
  3. Step 3: Cross multiply
    7,153.15x = 9,871.17 × 3,966.46
  4. Step 4: Simplify right side
    7,153.15x = 39,153,613.30
  5. Step 5: Solve for x
    x = 39,153,613.30/7,153.15
  6. Step 6: Final answer
    x = 5,473.62

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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.