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Finding the Fourth Proportional to 5,149.41, 7,724.12 and 1,253.78

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Solution

The fourth proportional to 5,149.41, 7,724.12 and 1,253.78 is: 1,880.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.41 : 7,724.12 = 1,253.78 : x
  2. Step 2: Convert to fraction form
    5,149.41/7,724.12 = 1,253.78/x
  3. Step 3: Cross multiply
    5,149.41x = 7,724.12 × 1,253.78
  4. Step 4: Simplify right side
    5,149.41x = 9,684,340.90
  5. Step 5: Solve for x
    x = 9,684,340.90/5,149.41
  6. Step 6: Final answer
    x = 1,880.67

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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.