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Finding the Fourth Proportional to 7,871.69, 11,804.54 and 2,605.13

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Solution

The fourth proportional to 7,871.69, 11,804.54 and 2,605.13 is: 3,906.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.69 : 11,804.54 = 2,605.13 : x
  2. Step 2: Convert to fraction form
    7,871.69/11,804.54 = 2,605.13/x
  3. Step 3: Cross multiply
    7,871.69x = 11,804.54 × 2,605.13
  4. Step 4: Simplify right side
    7,871.69x = 30,752,289.24
  5. Step 5: Solve for x
    x = 30,752,289.24/7,871.69
  6. Step 6: Final answer
    x = 3,906.70

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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.