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Finding the Fourth Proportional to 6,412.41, 8,844.78 and 4,177.20

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Solution

The fourth proportional to 6,412.41, 8,844.78 and 4,177.20 is: 5,761.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.41 : 8,844.78 = 4,177.20 : x
  2. Step 2: Convert to fraction form
    6,412.41/8,844.78 = 4,177.20/x
  3. Step 3: Cross multiply
    6,412.41x = 8,844.78 × 4,177.20
  4. Step 4: Simplify right side
    6,412.41x = 36,946,415.02
  5. Step 5: Solve for x
    x = 36,946,415.02/6,412.41
  6. Step 6: Final answer
    x = 5,761.71

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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.