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Finding the Fourth Proportional to 3,423.61, 5,135.69 and 958.42

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Solution

The fourth proportional to 3,423.61, 5,135.69 and 958.42 is: 1,437.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.61 : 5,135.69 = 958.42 : x
  2. Step 2: Convert to fraction form
    3,423.61/5,135.69 = 958.42/x
  3. Step 3: Cross multiply
    3,423.61x = 5,135.69 × 958.42
  4. Step 4: Simplify right side
    3,423.61x = 4,922,148.01
  5. Step 5: Solve for x
    x = 4,922,148.01/3,423.61
  6. Step 6: Final answer
    x = 1,437.71

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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.