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Finding the Fourth Proportional to 2,519, 3,476.22 and 1,415

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Solution

The fourth proportional to 2,519, 3,476.22 and 1,415 is: 1,952.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519 : 3,476.22 = 1,415 : x
  2. Step 2: Convert to fraction form
    2,519/3,476.22 = 1,415/x
  3. Step 3: Cross multiply
    2,519x = 3,476.22 × 1,415
  4. Step 4: Simplify right side
    2,519x = 4,918,851.30
  5. Step 5: Solve for x
    x = 4,918,851.30/2,519
  6. Step 6: Final answer
    x = 1,952.70

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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.