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Finding the Fourth Proportional to 6,507.60, 8,979.68 and 3,854.40

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Solution

The fourth proportional to 6,507.60, 8,979.68 and 3,854.40 is: 5,318.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.60 : 8,979.68 = 3,854.40 : x
  2. Step 2: Convert to fraction form
    6,507.60/8,979.68 = 3,854.40/x
  3. Step 3: Cross multiply
    6,507.60x = 8,979.68 × 3,854.40
  4. Step 4: Simplify right side
    6,507.60x = 34,611,278.59
  5. Step 5: Solve for x
    x = 34,611,278.59/6,507.60
  6. Step 6: Final answer
    x = 5,318.59

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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.