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Finding the Fourth Proportional to 7,215.73, 10,823.57 and 5,764.11

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Solution

The fourth proportional to 7,215.73, 10,823.57 and 5,764.11 is: 8,646.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,215.73 : 10,823.57 = 5,764.11 : x
  2. Step 2: Convert to fraction form
    7,215.73/10,823.57 = 5,764.11/x
  3. Step 3: Cross multiply
    7,215.73x = 10,823.57 × 5,764.11
  4. Step 4: Simplify right side
    7,215.73x = 62,388,293.58
  5. Step 5: Solve for x
    x = 62,388,293.58/7,215.73
  6. Step 6: Final answer
    x = 8,646.15

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.