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Finding the Fourth Proportional to 3,423.72, 5,135.48 and 958.72

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Solution

The fourth proportional to 3,423.72, 5,135.48 and 958.72 is: 1,438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.72 : 5,135.48 = 958.72 : x
  2. Step 2: Convert to fraction form
    3,423.72/5,135.48 = 958.72/x
  3. Step 3: Cross multiply
    3,423.72x = 5,135.48 × 958.72
  4. Step 4: Simplify right side
    3,423.72x = 4,923,487.39
  5. Step 5: Solve for x
    x = 4,923,487.39/3,423.72
  6. Step 6: Final answer
    x = 1,438.05

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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.