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Finding the Fourth Proportional to 4,282.71, 5,909.71 and 2,489.72

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Solution

The fourth proportional to 4,282.71, 5,909.71 and 2,489.72 is: 3,435.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282.71 : 5,909.71 = 2,489.72 : x
  2. Step 2: Convert to fraction form
    4,282.71/5,909.71 = 2,489.72/x
  3. Step 3: Cross multiply
    4,282.71x = 5,909.71 × 2,489.72
  4. Step 4: Simplify right side
    4,282.71x = 14,713,481.18
  5. Step 5: Solve for x
    x = 14,713,481.18/4,282.71
  6. Step 6: Final answer
    x = 3,435.56

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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.