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Finding the Fourth Proportional to 2,321.44, 3,478.56 and 1,348

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Solution

The fourth proportional to 2,321.44, 3,478.56 and 1,348 is: 2,019.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.44 : 3,478.56 = 1,348 : x
  2. Step 2: Convert to fraction form
    2,321.44/3,478.56 = 1,348/x
  3. Step 3: Cross multiply
    2,321.44x = 3,478.56 × 1,348
  4. Step 4: Simplify right side
    2,321.44x = 4,689,098.88
  5. Step 5: Solve for x
    x = 4,689,098.88/2,321.44
  6. Step 6: Final answer
    x = 2,019.91

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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.