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Finding the Fourth Proportional to 3,438.38, 5,157.61 and 841.31

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Solution

The fourth proportional to 3,438.38, 5,157.61 and 841.31 is: 1,261.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.38 : 5,157.61 = 841.31 : x
  2. Step 2: Convert to fraction form
    3,438.38/5,157.61 = 841.31/x
  3. Step 3: Cross multiply
    3,438.38x = 5,157.61 × 841.31
  4. Step 4: Simplify right side
    3,438.38x = 4,339,159.66
  5. Step 5: Solve for x
    x = 4,339,159.66/3,438.38
  6. Step 6: Final answer
    x = 1,261.98

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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.