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Finding the Fourth Proportional to 2,753.98, 4,131.21 and 880.14

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Solution

The fourth proportional to 2,753.98, 4,131.21 and 880.14 is: 1,320.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.98 : 4,131.21 = 880.14 : x
  2. Step 2: Convert to fraction form
    2,753.98/4,131.21 = 880.14/x
  3. Step 3: Cross multiply
    2,753.98x = 4,131.21 × 880.14
  4. Step 4: Simplify right side
    2,753.98x = 3,636,047.87
  5. Step 5: Solve for x
    x = 3,636,047.87/2,753.98
  6. Step 6: Final answer
    x = 1,320.29

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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.