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Finding the Fourth Proportional to 7,804.10, 11,704.80 and 2,871.20

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Solution

The fourth proportional to 7,804.10, 11,704.80 and 2,871.20 is: 4,306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.10 : 11,704.80 = 2,871.20 : x
  2. Step 2: Convert to fraction form
    7,804.10/11,704.80 = 2,871.20/x
  3. Step 3: Cross multiply
    7,804.10x = 11,704.80 × 2,871.20
  4. Step 4: Simplify right side
    7,804.10x = 33,606,821.76
  5. Step 5: Solve for x
    x = 33,606,821.76/7,804.10
  6. Step 6: Final answer
    x = 4,306.30

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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.