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Finding the Fourth Proportional to 10,877, 16,315.52 and 2,669

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Solution

The fourth proportional to 10,877, 16,315.52 and 2,669 is: 4,003.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,877 : 16,315.52 = 2,669 : x
  2. Step 2: Convert to fraction form
    10,877/16,315.52 = 2,669/x
  3. Step 3: Cross multiply
    10,877x = 16,315.52 × 2,669
  4. Step 4: Simplify right side
    10,877x = 43,546,122.88
  5. Step 5: Solve for x
    x = 43,546,122.88/10,877
  6. Step 6: Final answer
    x = 4,003.50

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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.