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Finding the Fourth Proportional to 6,617.40, 9,132.24 and 3,967.50

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Solution

The fourth proportional to 6,617.40, 9,132.24 and 3,967.50 is: 5,475.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.40 : 9,132.24 = 3,967.50 : x
  2. Step 2: Convert to fraction form
    6,617.40/9,132.24 = 3,967.50/x
  3. Step 3: Cross multiply
    6,617.40x = 9,132.24 × 3,967.50
  4. Step 4: Simplify right side
    6,617.40x = 36,232,162.20
  5. Step 5: Solve for x
    x = 36,232,162.20/6,617.40
  6. Step 6: Final answer
    x = 5,475.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.