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Finding the Fourth Proportional to 2,877.56, 3,986.07 and 2,819.24

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Solution

The fourth proportional to 2,877.56, 3,986.07 and 2,819.24 is: 3,905.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.56 : 3,986.07 = 2,819.24 : x
  2. Step 2: Convert to fraction form
    2,877.56/3,986.07 = 2,819.24/x
  3. Step 3: Cross multiply
    2,877.56x = 3,986.07 × 2,819.24
  4. Step 4: Simplify right side
    2,877.56x = 11,237,657.48
  5. Step 5: Solve for x
    x = 11,237,657.48/2,877.56
  6. Step 6: Final answer
    x = 3,905.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.