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Finding the Fourth Proportional to 7,871.39, 11,807.95 and 2,604.48

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Solution

The fourth proportional to 7,871.39, 11,807.95 and 2,604.48 is: 3,907.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.39 : 11,807.95 = 2,604.48 : x
  2. Step 2: Convert to fraction form
    7,871.39/11,807.95 = 2,604.48/x
  3. Step 3: Cross multiply
    7,871.39x = 11,807.95 × 2,604.48
  4. Step 4: Simplify right side
    7,871.39x = 30,753,569.62
  5. Step 5: Solve for x
    x = 30,753,569.62/7,871.39
  6. Step 6: Final answer
    x = 3,907.01

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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.