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Finding the Fourth Proportional to 6,505.20, 8,971.52 and 5,245.88

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Solution

The fourth proportional to 6,505.20, 8,971.52 and 5,245.88 is: 7,234.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.20 : 8,971.52 = 5,245.88 : x
  2. Step 2: Convert to fraction form
    6,505.20/8,971.52 = 5,245.88/x
  3. Step 3: Cross multiply
    6,505.20x = 8,971.52 × 5,245.88
  4. Step 4: Simplify right side
    6,505.20x = 47,063,446.25
  5. Step 5: Solve for x
    x = 47,063,446.25/6,505.20
  6. Step 6: Final answer
    x = 7,234.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.