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Finding the Fourth Proportional to 2,340.43, 3,230.16 and 1,780

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Solution

The fourth proportional to 2,340.43, 3,230.16 and 1,780 is: 2,456.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.43 : 3,230.16 = 1,780 : x
  2. Step 2: Convert to fraction form
    2,340.43/3,230.16 = 1,780/x
  3. Step 3: Cross multiply
    2,340.43x = 3,230.16 × 1,780
  4. Step 4: Simplify right side
    2,340.43x = 5,749,684.80
  5. Step 5: Solve for x
    x = 5,749,684.80/2,340.43
  6. Step 6: Final answer
    x = 2,456.68

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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.