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Finding the Fourth Proportional to 2,478, 3,419.64 and 1,374

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Solution

The fourth proportional to 2,478, 3,419.64 and 1,374 is: 1,896.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478 : 3,419.64 = 1,374 : x
  2. Step 2: Convert to fraction form
    2,478/3,419.64 = 1,374/x
  3. Step 3: Cross multiply
    2,478x = 3,419.64 × 1,374
  4. Step 4: Simplify right side
    2,478x = 4,698,585.36
  5. Step 5: Solve for x
    x = 4,698,585.36/2,478
  6. Step 6: Final answer
    x = 1,896.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.