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Finding the Fourth Proportional to 1,801.24, 2,701.78 and 876.64

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Solution

The fourth proportional to 1,801.24, 2,701.78 and 876.64 is: 1,314.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.24 : 2,701.78 = 876.64 : x
  2. Step 2: Convert to fraction form
    1,801.24/2,701.78 = 876.64/x
  3. Step 3: Cross multiply
    1,801.24x = 2,701.78 × 876.64
  4. Step 4: Simplify right side
    1,801.24x = 2,368,488.42
  5. Step 5: Solve for x
    x = 2,368,488.42/1,801.24
  6. Step 6: Final answer
    x = 1,314.92

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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.