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Finding the Fourth Proportional to 1,872.66, 2,584.14 and 1,086.69

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Solution

The fourth proportional to 1,872.66, 2,584.14 and 1,086.69 is: 1,499.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.66 : 2,584.14 = 1,086.69 : x
  2. Step 2: Convert to fraction form
    1,872.66/2,584.14 = 1,086.69/x
  3. Step 3: Cross multiply
    1,872.66x = 2,584.14 × 1,086.69
  4. Step 4: Simplify right side
    1,872.66x = 2,808,159.10
  5. Step 5: Solve for x
    x = 2,808,159.10/1,872.66
  6. Step 6: Final answer
    x = 1,499.56

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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.