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Finding the Fourth Proportional to 2,876.98, 4,315.05 and 797.13

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Solution

The fourth proportional to 2,876.98, 4,315.05 and 797.13 is: 1,195.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.98 : 4,315.05 = 797.13 : x
  2. Step 2: Convert to fraction form
    2,876.98/4,315.05 = 797.13/x
  3. Step 3: Cross multiply
    2,876.98x = 4,315.05 × 797.13
  4. Step 4: Simplify right side
    2,876.98x = 3,439,655.81
  5. Step 5: Solve for x
    x = 3,439,655.81/2,876.98
  6. Step 6: Final answer
    x = 1,195.58

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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.