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Finding the Fourth Proportional to 5,149.98, 7,724.97 and 1,687.50

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Solution

The fourth proportional to 5,149.98, 7,724.97 and 1,687.50 is: 2,531.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.98 : 7,724.97 = 1,687.50 : x
  2. Step 2: Convert to fraction form
    5,149.98/7,724.97 = 1,687.50/x
  3. Step 3: Cross multiply
    5,149.98x = 7,724.97 × 1,687.50
  4. Step 4: Simplify right side
    5,149.98x = 13,035,886.88
  5. Step 5: Solve for x
    x = 13,035,886.88/5,149.98
  6. Step 6: Final answer
    x = 2,531.25

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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.