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Finding the Fourth Proportional to 9,306.74, 13,959.84 and 7,916.78

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Solution

The fourth proportional to 9,306.74, 13,959.84 and 7,916.78 is: 11,874.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.74 : 13,959.84 = 7,916.78 : x
  2. Step 2: Convert to fraction form
    9,306.74/13,959.84 = 7,916.78/x
  3. Step 3: Cross multiply
    9,306.74x = 13,959.84 × 7,916.78
  4. Step 4: Simplify right side
    9,306.74x = 110,516,982.12
  5. Step 5: Solve for x
    x = 110,516,982.12/9,306.74
  6. Step 6: Final answer
    x = 11,874.94

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1.5x scale

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.