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Finding the Fourth Proportional to 5,149.36, 7,724.08 and 1,253.80

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Solution

The fourth proportional to 5,149.36, 7,724.08 and 1,253.80 is: 1,880.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.36 : 7,724.08 = 1,253.80 : x
  2. Step 2: Convert to fraction form
    5,149.36/7,724.08 = 1,253.80/x
  3. Step 3: Cross multiply
    5,149.36x = 7,724.08 × 1,253.80
  4. Step 4: Simplify right side
    5,149.36x = 9,684,451.50
  5. Step 5: Solve for x
    x = 9,684,451.50/5,149.36
  6. Step 6: Final answer
    x = 1,880.71

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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.