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Finding the Fourth Proportional to 1,789.92, 2,470.97 and 1,602.66

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Solution

The fourth proportional to 1,789.92, 2,470.97 and 1,602.66 is: 2,212.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.92 : 2,470.97 = 1,602.66 : x
  2. Step 2: Convert to fraction form
    1,789.92/2,470.97 = 1,602.66/x
  3. Step 3: Cross multiply
    1,789.92x = 2,470.97 × 1,602.66
  4. Step 4: Simplify right side
    1,789.92x = 3,960,124.34
  5. Step 5: Solve for x
    x = 3,960,124.34/1,789.92
  6. Step 6: Final answer
    x = 2,212.46

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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.