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Finding the Fourth Proportional to 2,690.20, 4,032.87 and 958.42

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Solution

The fourth proportional to 2,690.20, 4,032.87 and 958.42 is: 1,436.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.20 : 4,032.87 = 958.42 : x
  2. Step 2: Convert to fraction form
    2,690.20/4,032.87 = 958.42/x
  3. Step 3: Cross multiply
    2,690.20x = 4,032.87 × 958.42
  4. Step 4: Simplify right side
    2,690.20x = 3,865,188.31
  5. Step 5: Solve for x
    x = 3,865,188.31/2,690.20
  6. Step 6: Final answer
    x = 1,436.77

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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.