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Finding the Fourth Proportional to 6,494.80, 9,727.80 and 2,597.20

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Solution

The fourth proportional to 6,494.80, 9,727.80 and 2,597.20 is: 3,890.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.80 : 9,727.80 = 2,597.20 : x
  2. Step 2: Convert to fraction form
    6,494.80/9,727.80 = 2,597.20/x
  3. Step 3: Cross multiply
    6,494.80x = 9,727.80 × 2,597.20
  4. Step 4: Simplify right side
    6,494.80x = 25,265,042.16
  5. Step 5: Solve for x
    x = 25,265,042.16/6,494.80
  6. Step 6: Final answer
    x = 3,890.04

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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.