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Finding the Fourth Proportional to 2,755.84, 4,126.69 and 1,521.88

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Solution

The fourth proportional to 2,755.84, 4,126.69 and 1,521.88 is: 2,278.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.84 : 4,126.69 = 1,521.88 : x
  2. Step 2: Convert to fraction form
    2,755.84/4,126.69 = 1,521.88/x
  3. Step 3: Cross multiply
    2,755.84x = 4,126.69 × 1,521.88
  4. Step 4: Simplify right side
    2,755.84x = 6,280,326.98
  5. Step 5: Solve for x
    x = 6,280,326.98/2,755.84
  6. Step 6: Final answer
    x = 2,278.92

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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.