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Finding the Fourth Proportional to 9,830.80, 14,731.80 and 3,977.20

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Solution

The fourth proportional to 9,830.80, 14,731.80 and 3,977.20 is: 5,959.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.80 : 14,731.80 = 3,977.20 : x
  2. Step 2: Convert to fraction form
    9,830.80/14,731.80 = 3,977.20/x
  3. Step 3: Cross multiply
    9,830.80x = 14,731.80 × 3,977.20
  4. Step 4: Simplify right side
    9,830.80x = 58,591,314.96
  5. Step 5: Solve for x
    x = 58,591,314.96/9,830.80
  6. Step 6: Final answer
    x = 5,959.97

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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.