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Finding the Fourth Proportional to 6,789.92, 9,369.59 and 4,138.19

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Solution

The fourth proportional to 6,789.92, 9,369.59 and 4,138.19 is: 5,710.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789.92 : 9,369.59 = 4,138.19 : x
  2. Step 2: Convert to fraction form
    6,789.92/9,369.59 = 4,138.19/x
  3. Step 3: Cross multiply
    6,789.92x = 9,369.59 × 4,138.19
  4. Step 4: Simplify right side
    6,789.92x = 38,773,076.10
  5. Step 5: Solve for x
    x = 38,773,076.10/6,789.92
  6. Step 6: Final answer
    x = 5,710.39

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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.