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Finding the Fourth Proportional to 7,574.38, 10,455.87 and 5,091.82

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Solution

The fourth proportional to 7,574.38, 10,455.87 and 5,091.82 is: 7,028.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.38 : 10,455.87 = 5,091.82 : x
  2. Step 2: Convert to fraction form
    7,574.38/10,455.87 = 5,091.82/x
  3. Step 3: Cross multiply
    7,574.38x = 10,455.87 × 5,091.82
  4. Step 4: Simplify right side
    7,574.38x = 53,239,407.98
  5. Step 5: Solve for x
    x = 53,239,407.98/7,574.38
  6. Step 6: Final answer
    x = 7,028.88

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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.