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Finding the Fourth Proportional to 2,519.86, 3,781.51 and 876.40

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Solution

The fourth proportional to 2,519.86, 3,781.51 and 876.40 is: 1,315.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.86 : 3,781.51 = 876.40 : x
  2. Step 2: Convert to fraction form
    2,519.86/3,781.51 = 876.40/x
  3. Step 3: Cross multiply
    2,519.86x = 3,781.51 × 876.40
  4. Step 4: Simplify right side
    2,519.86x = 3,314,117.90
  5. Step 5: Solve for x
    x = 3,314,117.90/2,519.86
  6. Step 6: Final answer
    x = 1,315.20

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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.