Home / 2,311.49-3,470.70-1,847.90

Finding the Fourth Proportional to 2,311.49, 3,470.70 and 1,847.90

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Solution

The fourth proportional to 2,311.49, 3,470.70 and 1,847.90 is: 2,774.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.49 : 3,470.70 = 1,847.90 : x
  2. Step 2: Convert to fraction form
    2,311.49/3,470.70 = 1,847.90/x
  3. Step 3: Cross multiply
    2,311.49x = 3,470.70 × 1,847.90
  4. Step 4: Simplify right side
    2,311.49x = 6,413,506.53
  5. Step 5: Solve for x
    x = 6,413,506.53/2,311.49
  6. Step 6: Final answer
    x = 2,774.62

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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.