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Finding the Fourth Proportional to 10,002.80, 14,990.11 and 7,653.71

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Solution

The fourth proportional to 10,002.80, 14,990.11 and 7,653.71 is: 11,469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.80 : 14,990.11 = 7,653.71 : x
  2. Step 2: Convert to fraction form
    10,002.80/14,990.11 = 7,653.71/x
  3. Step 3: Cross multiply
    10,002.80x = 14,990.11 × 7,653.71
  4. Step 4: Simplify right side
    10,002.80x = 114,729,954.81
  5. Step 5: Solve for x
    x = 114,729,954.81/10,002.80
  6. Step 6: Final answer
    x = 11,469.78

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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.