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Finding the Fourth Proportional to 2,042.92, 2,818.92 and 1,203.40

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Solution

The fourth proportional to 2,042.92, 2,818.92 and 1,203.40 is: 1,660.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.92 : 2,818.92 = 1,203.40 : x
  2. Step 2: Convert to fraction form
    2,042.92/2,818.92 = 1,203.40/x
  3. Step 3: Cross multiply
    2,042.92x = 2,818.92 × 1,203.40
  4. Step 4: Simplify right side
    2,042.92x = 3,392,288.33
  5. Step 5: Solve for x
    x = 3,392,288.33/2,042.92
  6. Step 6: Final answer
    x = 1,660.51

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1.5x scale

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.