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Finding the Fourth Proportional to 2,519.05, 3,777.73 and 875.23

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Solution

The fourth proportional to 2,519.05, 3,777.73 and 875.23 is: 1,312.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.05 : 3,777.73 = 875.23 : x
  2. Step 2: Convert to fraction form
    2,519.05/3,777.73 = 875.23/x
  3. Step 3: Cross multiply
    2,519.05x = 3,777.73 × 875.23
  4. Step 4: Simplify right side
    2,519.05x = 3,306,363.74
  5. Step 5: Solve for x
    x = 3,306,363.74/2,519.05
  6. Step 6: Final answer
    x = 1,312.55

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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.