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Finding the Fourth Proportional to 2,909.02, 4,363.52 and 1,449.20

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Solution

The fourth proportional to 2,909.02, 4,363.52 and 1,449.20 is: 2,173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.02 : 4,363.52 = 1,449.20 : x
  2. Step 2: Convert to fraction form
    2,909.02/4,363.52 = 1,449.20/x
  3. Step 3: Cross multiply
    2,909.02x = 4,363.52 × 1,449.20
  4. Step 4: Simplify right side
    2,909.02x = 6,323,613.18
  5. Step 5: Solve for x
    x = 6,323,613.18/2,909.02
  6. Step 6: Final answer
    x = 2,173.80

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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.