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Finding the Fourth Proportional to 2,039.42, 3,057.40 and 807.70

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Solution

The fourth proportional to 2,039.42, 3,057.40 and 807.70 is: 1,210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.42 : 3,057.40 = 807.70 : x
  2. Step 2: Convert to fraction form
    2,039.42/3,057.40 = 807.70/x
  3. Step 3: Cross multiply
    2,039.42x = 3,057.40 × 807.70
  4. Step 4: Simplify right side
    2,039.42x = 2,469,442.65
  5. Step 5: Solve for x
    x = 2,469,442.65/2,039.42
  6. Step 6: Final answer
    x = 1,210.86

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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.