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Finding the Fourth Proportional to 5,382.80, 8,074.38 and 1,487.50

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Solution

The fourth proportional to 5,382.80, 8,074.38 and 1,487.50 is: 2,231.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.80 : 8,074.38 = 1,487.50 : x
  2. Step 2: Convert to fraction form
    5,382.80/8,074.38 = 1,487.50/x
  3. Step 3: Cross multiply
    5,382.80x = 8,074.38 × 1,487.50
  4. Step 4: Simplify right side
    5,382.80x = 12,010,640.25
  5. Step 5: Solve for x
    x = 12,010,640.25/5,382.80
  6. Step 6: Final answer
    x = 2,231.30

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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.