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Finding the Fourth Proportional to 7,517, 11,277.17 and 2,251.80

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Solution

The fourth proportional to 7,517, 11,277.17 and 2,251.80 is: 3,378.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,517 : 11,277.17 = 2,251.80 : x
  2. Step 2: Convert to fraction form
    7,517/11,277.17 = 2,251.80/x
  3. Step 3: Cross multiply
    7,517x = 11,277.17 × 2,251.80
  4. Step 4: Simplify right side
    7,517x = 25,393,931.41
  5. Step 5: Solve for x
    x = 25,393,931.41/7,517
  6. Step 6: Final answer
    x = 3,378.20

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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.