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Finding the Fourth Proportional to 3,423.92, 5,135.88 and 958.81

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Solution

The fourth proportional to 3,423.92, 5,135.88 and 958.81 is: 1,438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.92 : 5,135.88 = 958.81 : x
  2. Step 2: Convert to fraction form
    3,423.92/5,135.88 = 958.81/x
  3. Step 3: Cross multiply
    3,423.92x = 5,135.88 × 958.81
  4. Step 4: Simplify right side
    3,423.92x = 4,924,345.24
  5. Step 5: Solve for x
    x = 4,924,345.24/3,423.92
  6. Step 6: Final answer
    x = 1,438.22

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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.