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Finding the Fourth Proportional to 10,462.80, 15,694.20 and 9,950.80

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Solution

The fourth proportional to 10,462.80, 15,694.20 and 9,950.80 is: 14,926.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.80 : 15,694.20 = 9,950.80 : x
  2. Step 2: Convert to fraction form
    10,462.80/15,694.20 = 9,950.80/x
  3. Step 3: Cross multiply
    10,462.80x = 15,694.20 × 9,950.80
  4. Step 4: Simplify right side
    10,462.80x = 156,169,845.36
  5. Step 5: Solve for x
    x = 156,169,845.36/10,462.80
  6. Step 6: Final answer
    x = 14,926.20

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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.