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Finding the Fourth Proportional to 2,833.60, 4,253.05 and 1,447.90

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Solution

The fourth proportional to 2,833.60, 4,253.05 and 1,447.90 is: 2,173.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.60 : 4,253.05 = 1,447.90 : x
  2. Step 2: Convert to fraction form
    2,833.60/4,253.05 = 1,447.90/x
  3. Step 3: Cross multiply
    2,833.60x = 4,253.05 × 1,447.90
  4. Step 4: Simplify right side
    2,833.60x = 6,157,991.10
  5. Step 5: Solve for x
    x = 6,157,991.10/2,833.60
  6. Step 6: Final answer
    x = 2,173.20

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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.