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Finding the Fourth Proportional to 2,862.86, 3,945.40 and 2,232.39

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Solution

The fourth proportional to 2,862.86, 3,945.40 and 2,232.39 is: 3,076.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.86 : 3,945.40 = 2,232.39 : x
  2. Step 2: Convert to fraction form
    2,862.86/3,945.40 = 2,232.39/x
  3. Step 3: Cross multiply
    2,862.86x = 3,945.40 × 2,232.39
  4. Step 4: Simplify right side
    2,862.86x = 8,807,676.32
  5. Step 5: Solve for x
    x = 8,807,676.32/2,862.86
  6. Step 6: Final answer
    x = 3,076.53

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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.