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Finding the Fourth Proportional to 2,909.32, 4,363.86 and 1,982.56

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Solution

The fourth proportional to 2,909.32, 4,363.86 and 1,982.56 is: 2,973.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.32 : 4,363.86 = 1,982.56 : x
  2. Step 2: Convert to fraction form
    2,909.32/4,363.86 = 1,982.56/x
  3. Step 3: Cross multiply
    2,909.32x = 4,363.86 × 1,982.56
  4. Step 4: Simplify right side
    2,909.32x = 8,651,614.28
  5. Step 5: Solve for x
    x = 8,651,614.28/2,909.32
  6. Step 6: Final answer
    x = 2,973.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.