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Finding the Fourth Proportional to 9,809.38, 13,542.49 and 7,505.43

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Solution

The fourth proportional to 9,809.38, 13,542.49 and 7,505.43 is: 10,361.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.38 : 13,542.49 = 7,505.43 : x
  2. Step 2: Convert to fraction form
    9,809.38/13,542.49 = 7,505.43/x
  3. Step 3: Cross multiply
    9,809.38x = 13,542.49 × 7,505.43
  4. Step 4: Simplify right side
    9,809.38x = 101,642,245.49
  5. Step 5: Solve for x
    x = 101,642,245.49/9,809.38
  6. Step 6: Final answer
    x = 10,361.74

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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.