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Finding the Fourth Proportional to 1,584.73, 2,186.88 and 876.64

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Solution

The fourth proportional to 1,584.73, 2,186.88 and 876.64 is: 1,209.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.73 : 2,186.88 = 876.64 : x
  2. Step 2: Convert to fraction form
    1,584.73/2,186.88 = 876.64/x
  3. Step 3: Cross multiply
    1,584.73x = 2,186.88 × 876.64
  4. Step 4: Simplify right side
    1,584.73x = 1,917,101.83
  5. Step 5: Solve for x
    x = 1,917,101.83/1,584.73
  6. Step 6: Final answer
    x = 1,209.73

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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.