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Finding the Fourth Proportional to 2,687.90, 4,032.45 and 839.16

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Solution

The fourth proportional to 2,687.90, 4,032.45 and 839.16 is: 1,258.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.90 : 4,032.45 = 839.16 : x
  2. Step 2: Convert to fraction form
    2,687.90/4,032.45 = 839.16/x
  3. Step 3: Cross multiply
    2,687.90x = 4,032.45 × 839.16
  4. Step 4: Simplify right side
    2,687.90x = 3,383,870.74
  5. Step 5: Solve for x
    x = 3,383,870.74/2,687.90
  6. Step 6: Final answer
    x = 1,258.93

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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.