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Finding the Fourth Proportional to 7,871.34, 11,804.21 and 2,605.38

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Solution

The fourth proportional to 7,871.34, 11,804.21 and 2,605.38 is: 3,907.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.34 : 11,804.21 = 2,605.38 : x
  2. Step 2: Convert to fraction form
    7,871.34/11,804.21 = 2,605.38/x
  3. Step 3: Cross multiply
    7,871.34x = 11,804.21 × 2,605.38
  4. Step 4: Simplify right side
    7,871.34x = 30,754,452.65
  5. Step 5: Solve for x
    x = 30,754,452.65/7,871.34
  6. Step 6: Final answer
    x = 3,907.14

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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.