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Finding the Fourth Proportional to 1,801.61, 2,702.01 and 826.78

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Solution

The fourth proportional to 1,801.61, 2,702.01 and 826.78 is: 1,239.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.61 : 2,702.01 = 826.78 : x
  2. Step 2: Convert to fraction form
    1,801.61/2,702.01 = 826.78/x
  3. Step 3: Cross multiply
    1,801.61x = 2,702.01 × 826.78
  4. Step 4: Simplify right side
    1,801.61x = 2,233,964.17
  5. Step 5: Solve for x
    x = 2,233,964.17/1,801.61
  6. Step 6: Final answer
    x = 1,239.98

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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.