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Finding the Fourth Proportional to 2,887.85, 3,982.61 and 1,892.76

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Solution

The fourth proportional to 2,887.85, 3,982.61 and 1,892.76 is: 2,610.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.85 : 3,982.61 = 1,892.76 : x
  2. Step 2: Convert to fraction form
    2,887.85/3,982.61 = 1,892.76/x
  3. Step 3: Cross multiply
    2,887.85x = 3,982.61 × 1,892.76
  4. Step 4: Simplify right side
    2,887.85x = 7,538,124.90
  5. Step 5: Solve for x
    x = 7,538,124.90/2,887.85
  6. Step 6: Final answer
    x = 2,610.29

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1.5x scale

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.