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Finding the Fourth Proportional to 9,306.75, 12,843.32 and 5,115

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Solution

The fourth proportional to 9,306.75, 12,843.32 and 5,115 is: 7,058.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.75 : 12,843.32 = 5,115 : x
  2. Step 2: Convert to fraction form
    9,306.75/12,843.32 = 5,115/x
  3. Step 3: Cross multiply
    9,306.75x = 12,843.32 × 5,115
  4. Step 4: Simplify right side
    9,306.75x = 65,693,556.23
  5. Step 5: Solve for x
    x = 65,693,556.23/9,306.75
  6. Step 6: Final answer
    x = 7,058.70

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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.