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Finding the Fourth Proportional to 2,807.74, 3,876.48 and 2,512.50

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Solution

The fourth proportional to 2,807.74, 3,876.48 and 2,512.50 is: 3,468.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.74 : 3,876.48 = 2,512.50 : x
  2. Step 2: Convert to fraction form
    2,807.74/3,876.48 = 2,512.50/x
  3. Step 3: Cross multiply
    2,807.74x = 3,876.48 × 2,512.50
  4. Step 4: Simplify right side
    2,807.74x = 9,739,656
  5. Step 5: Solve for x
    x = 9,739,656/2,807.74
  6. Step 6: Final answer
    x = 3,468.86

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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.