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Finding the Fourth Proportional to 7,071.84, 9,764.88 and 6,324.48

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Solution

The fourth proportional to 7,071.84, 9,764.88 and 6,324.48 is: 8,732.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.84 : 9,764.88 = 6,324.48 : x
  2. Step 2: Convert to fraction form
    7,071.84/9,764.88 = 6,324.48/x
  3. Step 3: Cross multiply
    7,071.84x = 9,764.88 × 6,324.48
  4. Step 4: Simplify right side
    7,071.84x = 61,757,788.26
  5. Step 5: Solve for x
    x = 61,757,788.26/7,071.84
  6. Step 6: Final answer
    x = 8,732.92

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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.