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Finding the Fourth Proportional to 2,179.98, 3,006.95 and 1,434.87

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Solution

The fourth proportional to 2,179.98, 3,006.95 and 1,434.87 is: 1,979.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.98 : 3,006.95 = 1,434.87 : x
  2. Step 2: Convert to fraction form
    2,179.98/3,006.95 = 1,434.87/x
  3. Step 3: Cross multiply
    2,179.98x = 3,006.95 × 1,434.87
  4. Step 4: Simplify right side
    2,179.98x = 4,314,575.17
  5. Step 5: Solve for x
    x = 4,314,575.17/2,179.98
  6. Step 6: Final answer
    x = 1,979.18

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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.