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Finding the Fourth Proportional to 6,854.42, 9,458.17 and 3,869.78

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Solution

The fourth proportional to 6,854.42, 9,458.17 and 3,869.78 is: 5,339.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.42 : 9,458.17 = 3,869.78 : x
  2. Step 2: Convert to fraction form
    6,854.42/9,458.17 = 3,869.78/x
  3. Step 3: Cross multiply
    6,854.42x = 9,458.17 × 3,869.78
  4. Step 4: Simplify right side
    6,854.42x = 36,600,980.14
  5. Step 5: Solve for x
    x = 36,600,980.14/6,854.42
  6. Step 6: Final answer
    x = 5,339.76

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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.