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Finding the Fourth Proportional to 16,231.28, 22,399.12 and 8,779.28

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Solution

The fourth proportional to 16,231.28, 22,399.12 and 8,779.28 is: 12,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,231.28 : 22,399.12 = 8,779.28 : x
  2. Step 2: Convert to fraction form
    16,231.28/22,399.12 = 8,779.28/x
  3. Step 3: Cross multiply
    16,231.28x = 22,399.12 × 8,779.28
  4. Step 4: Simplify right side
    16,231.28x = 196,648,146.23
  5. Step 5: Solve for x
    x = 196,648,146.23/16,231.28
  6. Step 6: Final answer
    x = 12,115.38

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1.5x scale

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.