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Finding the Fourth Proportional to 2,001.84, 2,767.92 and 1,755.84

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Solution

The fourth proportional to 2,001.84, 2,767.92 and 1,755.84 is: 2,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.84 : 2,767.92 = 1,755.84 : x
  2. Step 2: Convert to fraction form
    2,001.84/2,767.92 = 1,755.84/x
  3. Step 3: Cross multiply
    2,001.84x = 2,767.92 × 1,755.84
  4. Step 4: Simplify right side
    2,001.84x = 4,860,024.65
  5. Step 5: Solve for x
    x = 4,860,024.65/2,001.84
  6. Step 6: Final answer
    x = 2,427.78

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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.