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Finding the Fourth Proportional to 9,294.46, 13,959.92 and 7,218.66

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Solution

The fourth proportional to 9,294.46, 13,959.92 and 7,218.66 is: 10,842.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.46 : 13,959.92 = 7,218.66 : x
  2. Step 2: Convert to fraction form
    9,294.46/13,959.92 = 7,218.66/x
  3. Step 3: Cross multiply
    9,294.46x = 13,959.92 × 7,218.66
  4. Step 4: Simplify right side
    9,294.46x = 100,771,916.11
  5. Step 5: Solve for x
    x = 100,771,916.11/9,294.46
  6. Step 6: Final answer
    x = 10,842.15

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Why These Related Problems?

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