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Finding the Fourth Proportional to 8,942.90, 13,354.11 and 7,302.65

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Solution

The fourth proportional to 8,942.90, 13,354.11 and 7,302.65 is: 10,904.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942.90 : 13,354.11 = 7,302.65 : x
  2. Step 2: Convert to fraction form
    8,942.90/13,354.11 = 7,302.65/x
  3. Step 3: Cross multiply
    8,942.90x = 13,354.11 × 7,302.65
  4. Step 4: Simplify right side
    8,942.90x = 97,520,324.62
  5. Step 5: Solve for x
    x = 97,520,324.62/8,942.90
  6. Step 6: Final answer
    x = 10,904.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.