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Finding the Fourth Proportional to 15,139.80, 22,709.70 and 8,578.80

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Solution

The fourth proportional to 15,139.80, 22,709.70 and 8,578.80 is: 12,868.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,139.80 : 22,709.70 = 8,578.80 : x
  2. Step 2: Convert to fraction form
    15,139.80/22,709.70 = 8,578.80/x
  3. Step 3: Cross multiply
    15,139.80x = 22,709.70 × 8,578.80
  4. Step 4: Simplify right side
    15,139.80x = 194,821,974.36
  5. Step 5: Solve for x
    x = 194,821,974.36/15,139.80
  6. Step 6: Final answer
    x = 12,868.20

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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.