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Finding the Fourth Proportional to 6,854.49, 9,459.62 and 3,869.24

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Solution

The fourth proportional to 6,854.49, 9,459.62 and 3,869.24 is: 5,339.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.49 : 9,459.62 = 3,869.24 : x
  2. Step 2: Convert to fraction form
    6,854.49/9,459.62 = 3,869.24/x
  3. Step 3: Cross multiply
    6,854.49x = 9,459.62 × 3,869.24
  4. Step 4: Simplify right side
    6,854.49x = 36,601,487.95
  5. Step 5: Solve for x
    x = 36,601,487.95/6,854.49
  6. Step 6: Final answer
    x = 5,339.78

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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.