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Finding the Fourth Proportional to 6,132.40, 9,191.01 and 3,502.10

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Solution

The fourth proportional to 6,132.40, 9,191.01 and 3,502.10 is: 5,248.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132.40 : 9,191.01 = 3,502.10 : x
  2. Step 2: Convert to fraction form
    6,132.40/9,191.01 = 3,502.10/x
  3. Step 3: Cross multiply
    6,132.40x = 9,191.01 × 3,502.10
  4. Step 4: Simplify right side
    6,132.40x = 32,187,836.12
  5. Step 5: Solve for x
    x = 32,187,836.12/6,132.40
  6. Step 6: Final answer
    x = 5,248.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.