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Finding the Fourth Proportional to 6,876.93, 9,488.59 and 3,892.12

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Solution

The fourth proportional to 6,876.93, 9,488.59 and 3,892.12 is: 5,370.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.93 : 9,488.59 = 3,892.12 : x
  2. Step 2: Convert to fraction form
    6,876.93/9,488.59 = 3,892.12/x
  3. Step 3: Cross multiply
    6,876.93x = 9,488.59 × 3,892.12
  4. Step 4: Simplify right side
    6,876.93x = 36,930,719.35
  5. Step 5: Solve for x
    x = 36,930,719.35/6,876.93
  6. Step 6: Final answer
    x = 5,370.23

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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.