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Finding the Fourth Proportional to 9,358.54, 12,914.31 and 5,165.98

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Solution

The fourth proportional to 9,358.54, 12,914.31 and 5,165.98 is: 7,128.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.54 : 12,914.31 = 5,165.98 : x
  2. Step 2: Convert to fraction form
    9,358.54/12,914.31 = 5,165.98/x
  3. Step 3: Cross multiply
    9,358.54x = 12,914.31 × 5,165.98
  4. Step 4: Simplify right side
    9,358.54x = 66,715,067.17
  5. Step 5: Solve for x
    x = 66,715,067.17/9,358.54
  6. Step 6: Final answer
    x = 7,128.79

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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.