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Finding the Fourth Proportional to 1,872.16, 2,802.78 and 1,755.75

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Solution

The fourth proportional to 1,872.16, 2,802.78 and 1,755.75 is: 2,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.16 : 2,802.78 = 1,755.75 : x
  2. Step 2: Convert to fraction form
    1,872.16/2,802.78 = 1,755.75/x
  3. Step 3: Cross multiply
    1,872.16x = 2,802.78 × 1,755.75
  4. Step 4: Simplify right side
    1,872.16x = 4,920,978.67
  5. Step 5: Solve for x
    x = 4,920,978.67/1,872.16
  6. Step 6: Final answer
    x = 2,628.50

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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.