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Finding the Fourth Proportional to 6,499.62, 9,744.46 and 5,385.62

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Solution

The fourth proportional to 6,499.62, 9,744.46 and 5,385.62 is: 8,074.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.62 : 9,744.46 = 5,385.62 : x
  2. Step 2: Convert to fraction form
    6,499.62/9,744.46 = 5,385.62/x
  3. Step 3: Cross multiply
    6,499.62x = 9,744.46 × 5,385.62
  4. Step 4: Simplify right side
    6,499.62x = 52,479,958.67
  5. Step 5: Solve for x
    x = 52,479,958.67/6,499.62
  6. Step 6: Final answer
    x = 8,074.31

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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.