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Finding the Fourth Proportional to 34,101.20, 51,151.80 and 9,141.20

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Solution

The fourth proportional to 34,101.20, 51,151.80 and 9,141.20 is: 13,711.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,101.20 : 51,151.80 = 9,141.20 : x
  2. Step 2: Convert to fraction form
    34,101.20/51,151.80 = 9,141.20/x
  3. Step 3: Cross multiply
    34,101.20x = 51,151.80 × 9,141.20
  4. Step 4: Simplify right side
    34,101.20x = 467,588,834.16
  5. Step 5: Solve for x
    x = 467,588,834.16/34,101.20
  6. Step 6: Final answer
    x = 13,711.80

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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.