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Finding the Fourth Proportional to 2,877.86, 3,970.42 and 2,133.07

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Solution

The fourth proportional to 2,877.86, 3,970.42 and 2,133.07 is: 2,942.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.86 : 3,970.42 = 2,133.07 : x
  2. Step 2: Convert to fraction form
    2,877.86/3,970.42 = 2,133.07/x
  3. Step 3: Cross multiply
    2,877.86x = 3,970.42 × 2,133.07
  4. Step 4: Simplify right side
    2,877.86x = 8,469,168.53
  5. Step 5: Solve for x
    x = 8,469,168.53/2,877.86
  6. Step 6: Final answer
    x = 2,942.87

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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.