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Finding the Fourth Proportional to 2,881.20, 4,321.20 and 1,237.80

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Solution

The fourth proportional to 2,881.20, 4,321.20 and 1,237.80 is: 1,856.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.20 : 4,321.20 = 1,237.80 : x
  2. Step 2: Convert to fraction form
    2,881.20/4,321.20 = 1,237.80/x
  3. Step 3: Cross multiply
    2,881.20x = 4,321.20 × 1,237.80
  4. Step 4: Simplify right side
    2,881.20x = 5,348,781.36
  5. Step 5: Solve for x
    x = 5,348,781.36/2,881.20
  6. Step 6: Final answer
    x = 1,856.44

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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.