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Finding the Fourth Proportional to 2,240, 3,090.84 and 1,295.78

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Solution

The fourth proportional to 2,240, 3,090.84 and 1,295.78 is: 1,787.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240 : 3,090.84 = 1,295.78 : x
  2. Step 2: Convert to fraction form
    2,240/3,090.84 = 1,295.78/x
  3. Step 3: Cross multiply
    2,240x = 3,090.84 × 1,295.78
  4. Step 4: Simplify right side
    2,240x = 4,005,048.66
  5. Step 5: Solve for x
    x = 4,005,048.66/2,240
  6. Step 6: Final answer
    x = 1,787.97

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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.