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Finding the Fourth Proportional to 6,331.80, 9,503.10 and 2,827.20

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Solution

The fourth proportional to 6,331.80, 9,503.10 and 2,827.20 is: 4,243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.80 : 9,503.10 = 2,827.20 : x
  2. Step 2: Convert to fraction form
    6,331.80/9,503.10 = 2,827.20/x
  3. Step 3: Cross multiply
    6,331.80x = 9,503.10 × 2,827.20
  4. Step 4: Simplify right side
    6,331.80x = 26,867,164.32
  5. Step 5: Solve for x
    x = 26,867,164.32/6,331.80
  6. Step 6: Final answer
    x = 4,243.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.