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Finding the Fourth Proportional to 2,814, 3,878.98 and 2,315.76

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Solution

The fourth proportional to 2,814, 3,878.98 and 2,315.76 is: 3,192.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814 : 3,878.98 = 2,315.76 : x
  2. Step 2: Convert to fraction form
    2,814/3,878.98 = 2,315.76/x
  3. Step 3: Cross multiply
    2,814x = 3,878.98 × 2,315.76
  4. Step 4: Simplify right side
    2,814x = 8,982,786.72
  5. Step 5: Solve for x
    x = 8,982,786.72/2,814
  6. Step 6: Final answer
    x = 3,192.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.