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Finding the Fourth Proportional to 3,134.38, 4,322.82 and 3,095.50

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Solution

The fourth proportional to 3,134.38, 4,322.82 and 3,095.50 is: 4,269.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.38 : 4,322.82 = 3,095.50 : x
  2. Step 2: Convert to fraction form
    3,134.38/4,322.82 = 3,095.50/x
  3. Step 3: Cross multiply
    3,134.38x = 4,322.82 × 3,095.50
  4. Step 4: Simplify right side
    3,134.38x = 13,381,289.31
  5. Step 5: Solve for x
    x = 13,381,289.31/3,134.38
  6. Step 6: Final answer
    x = 4,269.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.