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Finding the Fourth Proportional to 7,106.82, 10,661.10 and 3,815.40

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Solution

The fourth proportional to 7,106.82, 10,661.10 and 3,815.40 is: 5,723.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.82 : 10,661.10 = 3,815.40 : x
  2. Step 2: Convert to fraction form
    7,106.82/10,661.10 = 3,815.40/x
  3. Step 3: Cross multiply
    7,106.82x = 10,661.10 × 3,815.40
  4. Step 4: Simplify right side
    7,106.82x = 40,676,360.94
  5. Step 5: Solve for x
    x = 40,676,360.94/7,106.82
  6. Step 6: Final answer
    x = 5,723.57

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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.