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Finding the Fourth Proportional to 11,142.80, 16,711.80 and 4,902.80

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Solution

The fourth proportional to 11,142.80, 16,711.80 and 4,902.80 is: 7,353.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142.80 : 16,711.80 = 4,902.80 : x
  2. Step 2: Convert to fraction form
    11,142.80/16,711.80 = 4,902.80/x
  3. Step 3: Cross multiply
    11,142.80x = 16,711.80 × 4,902.80
  4. Step 4: Simplify right side
    11,142.80x = 81,934,613.04
  5. Step 5: Solve for x
    x = 81,934,613.04/11,142.80
  6. Step 6: Final answer
    x = 7,353.14

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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.