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Finding the Fourth Proportional to 7,153.56, 9,871.50 and 3,966.60

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Solution

The fourth proportional to 7,153.56, 9,871.50 and 3,966.60 is: 5,473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.56 : 9,871.50 = 3,966.60 : x
  2. Step 2: Convert to fraction form
    7,153.56/9,871.50 = 3,966.60/x
  3. Step 3: Cross multiply
    7,153.56x = 9,871.50 × 3,966.60
  4. Step 4: Simplify right side
    7,153.56x = 39,156,291.90
  5. Step 5: Solve for x
    x = 39,156,291.90/7,153.56
  6. Step 6: Final answer
    x = 5,473.68

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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.