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Finding the Fourth Proportional to 9,042.53, 12,478.32 and 5,265.81

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Solution

The fourth proportional to 9,042.53, 12,478.32 and 5,265.81 is: 7,266.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.53 : 12,478.32 = 5,265.81 : x
  2. Step 2: Convert to fraction form
    9,042.53/12,478.32 = 5,265.81/x
  3. Step 3: Cross multiply
    9,042.53x = 12,478.32 × 5,265.81
  4. Step 4: Simplify right side
    9,042.53x = 65,708,462.24
  5. Step 5: Solve for x
    x = 65,708,462.24/9,042.53
  6. Step 6: Final answer
    x = 7,266.61

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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.