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Finding the Fourth Proportional to 4,254.80, 5,877.78 and 4,221.86

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Solution

The fourth proportional to 4,254.80, 5,877.78 and 4,221.86 is: 5,832.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254.80 : 5,877.78 = 4,221.86 : x
  2. Step 2: Convert to fraction form
    4,254.80/5,877.78 = 4,221.86/x
  3. Step 3: Cross multiply
    4,254.80x = 5,877.78 × 4,221.86
  4. Step 4: Simplify right side
    4,254.80x = 24,815,164.27
  5. Step 5: Solve for x
    x = 24,815,164.27/4,254.80
  6. Step 6: Final answer
    x = 5,832.28

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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.