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Finding the Fourth Proportional to 7,806.04, 11,698.66 and 2,871.11

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Solution

The fourth proportional to 7,806.04, 11,698.66 and 2,871.11 is: 4,302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.04 : 11,698.66 = 2,871.11 : x
  2. Step 2: Convert to fraction form
    7,806.04/11,698.66 = 2,871.11/x
  3. Step 3: Cross multiply
    7,806.04x = 11,698.66 × 2,871.11
  4. Step 4: Simplify right side
    7,806.04x = 33,588,172.55
  5. Step 5: Solve for x
    x = 33,588,172.55/7,806.04
  6. Step 6: Final answer
    x = 4,302.85

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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.