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Finding the Fourth Proportional to 2,959.60, 4,439.76 and 1,228

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Solution

The fourth proportional to 2,959.60, 4,439.76 and 1,228 is: 1,842.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.60 : 4,439.76 = 1,228 : x
  2. Step 2: Convert to fraction form
    2,959.60/4,439.76 = 1,228/x
  3. Step 3: Cross multiply
    2,959.60x = 4,439.76 × 1,228
  4. Step 4: Simplify right side
    2,959.60x = 5,452,025.28
  5. Step 5: Solve for x
    x = 5,452,025.28/2,959.60
  6. Step 6: Final answer
    x = 1,842.15

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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.