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Finding the Fourth Proportional to 10,891.77, 16,339.28 and 3,871.20

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Solution

The fourth proportional to 10,891.77, 16,339.28 and 3,871.20 is: 5,807.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891.77 : 16,339.28 = 3,871.20 : x
  2. Step 2: Convert to fraction form
    10,891.77/16,339.28 = 3,871.20/x
  3. Step 3: Cross multiply
    10,891.77x = 16,339.28 × 3,871.20
  4. Step 4: Simplify right side
    10,891.77x = 63,252,620.74
  5. Step 5: Solve for x
    x = 63,252,620.74/10,891.77
  6. Step 6: Final answer
    x = 5,807.38

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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.