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Finding the Fourth Proportional to 9,950.33, 13,732.10 and 5,474.58

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Solution

The fourth proportional to 9,950.33, 13,732.10 and 5,474.58 is: 7,555.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.33 : 13,732.10 = 5,474.58 : x
  2. Step 2: Convert to fraction form
    9,950.33/13,732.10 = 5,474.58/x
  3. Step 3: Cross multiply
    9,950.33x = 13,732.10 × 5,474.58
  4. Step 4: Simplify right side
    9,950.33x = 75,177,480.02
  5. Step 5: Solve for x
    x = 75,177,480.02/9,950.33
  6. Step 6: Final answer
    x = 7,555.28

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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.