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Finding the Fourth Proportional to 9,205.34, 12,711.48 and 6,843.38

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Solution

The fourth proportional to 9,205.34, 12,711.48 and 6,843.38 is: 9,449.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.34 : 12,711.48 = 6,843.38 : x
  2. Step 2: Convert to fraction form
    9,205.34/12,711.48 = 6,843.38/x
  3. Step 3: Cross multiply
    9,205.34x = 12,711.48 × 6,843.38
  4. Step 4: Simplify right side
    9,205.34x = 86,989,424.45
  5. Step 5: Solve for x
    x = 86,989,424.45/9,205.34
  6. Step 6: Final answer
    x = 9,449.89

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Half scale
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Double scale
Find fourth proportional to 9,206.34, 12,712.86 and 6,844.38
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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.