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Finding the Fourth Proportional to 6,634.80, 9,169.20 and 5,306.40

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Solution

The fourth proportional to 6,634.80, 9,169.20 and 5,306.40 is: 7,333.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634.80 : 9,169.20 = 5,306.40 : x
  2. Step 2: Convert to fraction form
    6,634.80/9,169.20 = 5,306.40/x
  3. Step 3: Cross multiply
    6,634.80x = 9,169.20 × 5,306.40
  4. Step 4: Simplify right side
    6,634.80x = 48,655,442.88
  5. Step 5: Solve for x
    x = 48,655,442.88/6,634.80
  6. Step 6: Final answer
    x = 7,333.37

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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.