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Finding the Fourth Proportional to 3,423.71, 5,135.52 and 826.63

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Solution

The fourth proportional to 3,423.71, 5,135.52 and 826.63 is: 1,239.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.71 : 5,135.52 = 826.63 : x
  2. Step 2: Convert to fraction form
    3,423.71/5,135.52 = 826.63/x
  3. Step 3: Cross multiply
    3,423.71x = 5,135.52 × 826.63
  4. Step 4: Simplify right side
    3,423.71x = 4,245,174.90
  5. Step 5: Solve for x
    x = 4,245,174.90/3,423.71
  6. Step 6: Final answer
    x = 1,239.93

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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.