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Finding the Fourth Proportional to 2,083.64, 3,123.66 and 987.44

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Solution

The fourth proportional to 2,083.64, 3,123.66 and 987.44 is: 1,480.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.64 : 3,123.66 = 987.44 : x
  2. Step 2: Convert to fraction form
    2,083.64/3,123.66 = 987.44/x
  3. Step 3: Cross multiply
    2,083.64x = 3,123.66 × 987.44
  4. Step 4: Simplify right side
    2,083.64x = 3,084,426.83
  5. Step 5: Solve for x
    x = 3,084,426.83/2,083.64
  6. Step 6: Final answer
    x = 1,480.31

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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.