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Finding the Fourth Proportional to 6,834.40, 9,432.78 and 4,002.40

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Solution

The fourth proportional to 6,834.40, 9,432.78 and 4,002.40 is: 5,524.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.40 : 9,432.78 = 4,002.40 : x
  2. Step 2: Convert to fraction form
    6,834.40/9,432.78 = 4,002.40/x
  3. Step 3: Cross multiply
    6,834.40x = 9,432.78 × 4,002.40
  4. Step 4: Simplify right side
    6,834.40x = 37,753,758.67
  5. Step 5: Solve for x
    x = 37,753,758.67/6,834.40
  6. Step 6: Final answer
    x = 5,524.08

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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.