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Finding the Fourth Proportional to 7,205.77, 10,806.04 and 3,046.10

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Solution

The fourth proportional to 7,205.77, 10,806.04 and 3,046.10 is: 4,568.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.77 : 10,806.04 = 3,046.10 : x
  2. Step 2: Convert to fraction form
    7,205.77/10,806.04 = 3,046.10/x
  3. Step 3: Cross multiply
    7,205.77x = 10,806.04 × 3,046.10
  4. Step 4: Simplify right side
    7,205.77x = 32,916,278.44
  5. Step 5: Solve for x
    x = 32,916,278.44/7,205.77
  6. Step 6: Final answer
    x = 4,568.04

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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.