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Finding the Fourth Proportional to 11,464.08, 15,799 and 8,942.20

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Solution

The fourth proportional to 11,464.08, 15,799 and 8,942.20 is: 12,323.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.08 : 15,799 = 8,942.20 : x
  2. Step 2: Convert to fraction form
    11,464.08/15,799 = 8,942.20/x
  3. Step 3: Cross multiply
    11,464.08x = 15,799 × 8,942.20
  4. Step 4: Simplify right side
    11,464.08x = 141,277,817.80
  5. Step 5: Solve for x
    x = 141,277,817.80/11,464.08
  6. Step 6: Final answer
    x = 12,323.52

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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.