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Finding the Fourth Proportional to 7,821.32, 11,731.98 and 7,302.92

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Solution

The fourth proportional to 7,821.32, 11,731.98 and 7,302.92 is: 10,954.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.32 : 11,731.98 = 7,302.92 : x
  2. Step 2: Convert to fraction form
    7,821.32/11,731.98 = 7,302.92/x
  3. Step 3: Cross multiply
    7,821.32x = 11,731.98 × 7,302.92
  4. Step 4: Simplify right side
    7,821.32x = 85,677,711.38
  5. Step 5: Solve for x
    x = 85,677,711.38/7,821.32
  6. Step 6: Final answer
    x = 10,954.38

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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.