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Finding the Fourth Proportional to 6,932.20, 10,403.16 and 6,319.84

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Solution

The fourth proportional to 6,932.20, 10,403.16 and 6,319.84 is: 9,484.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.20 : 10,403.16 = 6,319.84 : x
  2. Step 2: Convert to fraction form
    6,932.20/10,403.16 = 6,319.84/x
  3. Step 3: Cross multiply
    6,932.20x = 10,403.16 × 6,319.84
  4. Step 4: Simplify right side
    6,932.20x = 65,746,306.69
  5. Step 5: Solve for x
    x = 65,746,306.69/6,932.20
  6. Step 6: Final answer
    x = 9,484.19

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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.