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Finding the Fourth Proportional to 2,934.85, 4,402.74 and 959.83

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Solution

The fourth proportional to 2,934.85, 4,402.74 and 959.83 is: 1,439.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.85 : 4,402.74 = 959.83 : x
  2. Step 2: Convert to fraction form
    2,934.85/4,402.74 = 959.83/x
  3. Step 3: Cross multiply
    2,934.85x = 4,402.74 × 959.83
  4. Step 4: Simplify right side
    2,934.85x = 4,225,881.93
  5. Step 5: Solve for x
    x = 4,225,881.93/2,934.85
  6. Step 6: Final answer
    x = 1,439.90

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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.