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Finding the Fourth Proportional to 9,455.38, 13,047.87 and 5,476.21

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Solution

The fourth proportional to 9,455.38, 13,047.87 and 5,476.21 is: 7,556.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,455.38 : 13,047.87 = 5,476.21 : x
  2. Step 2: Convert to fraction form
    9,455.38/13,047.87 = 5,476.21/x
  3. Step 3: Cross multiply
    9,455.38x = 13,047.87 × 5,476.21
  4. Step 4: Simplify right side
    9,455.38x = 71,452,876.17
  5. Step 5: Solve for x
    x = 71,452,876.17/9,455.38
  6. Step 6: Final answer
    x = 7,556.85

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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.