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Finding the Fourth Proportional to 9,354.11, 12,912.89 and 6,169.30

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Solution

The fourth proportional to 9,354.11, 12,912.89 and 6,169.30 is: 8,516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.11 : 12,912.89 = 6,169.30 : x
  2. Step 2: Convert to fraction form
    9,354.11/12,912.89 = 6,169.30/x
  3. Step 3: Cross multiply
    9,354.11x = 12,912.89 × 6,169.30
  4. Step 4: Simplify right side
    9,354.11x = 79,663,429.15
  5. Step 5: Solve for x
    x = 79,663,429.15/9,354.11
  6. Step 6: Final answer
    x = 8,516.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.