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Finding the Fourth Proportional to 8,344.69, 11,506.21 and 6,827.45

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Solution

The fourth proportional to 8,344.69, 11,506.21 and 6,827.45 is: 9,414.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.69 : 11,506.21 = 6,827.45 : x
  2. Step 2: Convert to fraction form
    8,344.69/11,506.21 = 6,827.45/x
  3. Step 3: Cross multiply
    8,344.69x = 11,506.21 × 6,827.45
  4. Step 4: Simplify right side
    8,344.69x = 78,557,998.86
  5. Step 5: Solve for x
    x = 78,557,998.86/8,344.69
  6. Step 6: Final answer
    x = 9,414.13

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Double scale
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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.