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Finding the Fourth Proportional to 14,878, 20,530.84 and 8,163.52

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Solution

The fourth proportional to 14,878, 20,530.84 and 8,163.52 is: 11,265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,878 : 20,530.84 = 8,163.52 : x
  2. Step 2: Convert to fraction form
    14,878/20,530.84 = 8,163.52/x
  3. Step 3: Cross multiply
    14,878x = 20,530.84 × 8,163.52
  4. Step 4: Simplify right side
    14,878x = 167,603,922.96
  5. Step 5: Solve for x
    x = 167,603,922.96/14,878
  6. Step 6: Final answer
    x = 11,265.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.