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Finding the Fourth Proportional to 1,974.31, 2,961.41 and 587.66

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Solution

The fourth proportional to 1,974.31, 2,961.41 and 587.66 is: 881.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.31 : 2,961.41 = 587.66 : x
  2. Step 2: Convert to fraction form
    1,974.31/2,961.41 = 587.66/x
  3. Step 3: Cross multiply
    1,974.31x = 2,961.41 × 587.66
  4. Step 4: Simplify right side
    1,974.31x = 1,740,284.46
  5. Step 5: Solve for x
    x = 1,740,284.46/1,974.31
  6. Step 6: Final answer
    x = 881.47

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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.