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Finding the Fourth Proportional to 7,230.30, 9,977.43 and 4,086.30

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Solution

The fourth proportional to 7,230.30, 9,977.43 and 4,086.30 is: 5,638.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.30 : 9,977.43 = 4,086.30 : x
  2. Step 2: Convert to fraction form
    7,230.30/9,977.43 = 4,086.30/x
  3. Step 3: Cross multiply
    7,230.30x = 9,977.43 × 4,086.30
  4. Step 4: Simplify right side
    7,230.30x = 40,770,772.21
  5. Step 5: Solve for x
    x = 40,770,772.21/7,230.30
  6. Step 6: Final answer
    x = 5,638.88

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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.