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Finding the Fourth Proportional to 27,132.18, 40,691.90 and 7,406.04

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Solution

The fourth proportional to 27,132.18, 40,691.90 and 7,406.04 is: 11,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,132.18 : 40,691.90 = 7,406.04 : x
  2. Step 2: Convert to fraction form
    27,132.18/40,691.90 = 7,406.04/x
  3. Step 3: Cross multiply
    27,132.18x = 40,691.90 × 7,406.04
  4. Step 4: Simplify right side
    27,132.18x = 301,365,802.05
  5. Step 5: Solve for x
    x = 301,365,802.05/27,132.18
  6. Step 6: Final answer
    x = 11,107.32

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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.