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Finding the Fourth Proportional to 2,165.88, 2,988.82 and 1,221.87

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Solution

The fourth proportional to 2,165.88, 2,988.82 and 1,221.87 is: 1,686.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.88 : 2,988.82 = 1,221.87 : x
  2. Step 2: Convert to fraction form
    2,165.88/2,988.82 = 1,221.87/x
  3. Step 3: Cross multiply
    2,165.88x = 2,988.82 × 1,221.87
  4. Step 4: Simplify right side
    2,165.88x = 3,651,949.49
  5. Step 5: Solve for x
    x = 3,651,949.49/2,165.88
  6. Step 6: Final answer
    x = 1,686.13

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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.