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Finding the Fourth Proportional to 9,042.96, 12,478.92 and 5,266.24

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Solution

The fourth proportional to 9,042.96, 12,478.92 and 5,266.24 is: 7,267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.96 : 12,478.92 = 5,266.24 : x
  2. Step 2: Convert to fraction form
    9,042.96/12,478.92 = 5,266.24/x
  3. Step 3: Cross multiply
    9,042.96x = 12,478.92 × 5,266.24
  4. Step 4: Simplify right side
    9,042.96x = 65,716,987.66
  5. Step 5: Solve for x
    x = 65,716,987.66/9,042.96
  6. Step 6: Final answer
    x = 7,267.20

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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.