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Finding the Fourth Proportional to 3,135, 4,329.18 and 2,311.32

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Solution

The fourth proportional to 3,135, 4,329.18 and 2,311.32 is: 3,191.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135 : 4,329.18 = 2,311.32 : x
  2. Step 2: Convert to fraction form
    3,135/4,329.18 = 2,311.32/x
  3. Step 3: Cross multiply
    3,135x = 4,329.18 × 2,311.32
  4. Step 4: Simplify right side
    3,135x = 10,006,120.32
  5. Step 5: Solve for x
    x = 10,006,120.32/3,135
  6. Step 6: Final answer
    x = 3,191.74

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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.