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Finding the Fourth Proportional to 1,864.09, 2,793.97 and 1,648.09

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Solution

The fourth proportional to 1,864.09, 2,793.97 and 1,648.09 is: 2,470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.09 : 2,793.97 = 1,648.09 : x
  2. Step 2: Convert to fraction form
    1,864.09/2,793.97 = 1,648.09/x
  3. Step 3: Cross multiply
    1,864.09x = 2,793.97 × 1,648.09
  4. Step 4: Simplify right side
    1,864.09x = 4,604,714.02
  5. Step 5: Solve for x
    x = 4,604,714.02/1,864.09
  6. Step 6: Final answer
    x = 2,470.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.