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Finding the Fourth Proportional to 5,487.60, 8,231.40 and 5,120.40

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Solution

The fourth proportional to 5,487.60, 8,231.40 and 5,120.40 is: 7,680.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,487.60 : 8,231.40 = 5,120.40 : x
  2. Step 2: Convert to fraction form
    5,487.60/8,231.40 = 5,120.40/x
  3. Step 3: Cross multiply
    5,487.60x = 8,231.40 × 5,120.40
  4. Step 4: Simplify right side
    5,487.60x = 42,148,060.56
  5. Step 5: Solve for x
    x = 42,148,060.56/5,487.60
  6. Step 6: Final answer
    x = 7,680.60

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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.