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Finding the Fourth Proportional to 2,167.79, 3,248.84 and 870.17

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Solution

The fourth proportional to 2,167.79, 3,248.84 and 870.17 is: 1,304.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.79 : 3,248.84 = 870.17 : x
  2. Step 2: Convert to fraction form
    2,167.79/3,248.84 = 870.17/x
  3. Step 3: Cross multiply
    2,167.79x = 3,248.84 × 870.17
  4. Step 4: Simplify right side
    2,167.79x = 2,827,029.03
  5. Step 5: Solve for x
    x = 2,827,029.03/2,167.79
  6. Step 6: Final answer
    x = 1,304.11

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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.