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Finding the Fourth Proportional to 1,584.26, 2,186.24 and 876.11

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Solution

The fourth proportional to 1,584.26, 2,186.24 and 876.11 is: 1,209.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.26 : 2,186.24 = 876.11 : x
  2. Step 2: Convert to fraction form
    1,584.26/2,186.24 = 876.11/x
  3. Step 3: Cross multiply
    1,584.26x = 2,186.24 × 876.11
  4. Step 4: Simplify right side
    1,584.26x = 1,915,386.73
  5. Step 5: Solve for x
    x = 1,915,386.73/1,584.26
  6. Step 6: Final answer
    x = 1,209.01

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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.