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Finding the Fourth Proportional to 2,340.91, 3,230.31 and 1,293

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Solution

The fourth proportional to 2,340.91, 3,230.31 and 1,293 is: 1,784.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.91 : 3,230.31 = 1,293 : x
  2. Step 2: Convert to fraction form
    2,340.91/3,230.31 = 1,293/x
  3. Step 3: Cross multiply
    2,340.91x = 3,230.31 × 1,293
  4. Step 4: Simplify right side
    2,340.91x = 4,176,790.83
  5. Step 5: Solve for x
    x = 4,176,790.83/2,340.91
  6. Step 6: Final answer
    x = 1,784.26

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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.