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Finding the Fourth Proportional to 8,540.70, 12,811.05 and 2,992.20

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Solution

The fourth proportional to 8,540.70, 12,811.05 and 2,992.20 is: 4,488.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.70 : 12,811.05 = 2,992.20 : x
  2. Step 2: Convert to fraction form
    8,540.70/12,811.05 = 2,992.20/x
  3. Step 3: Cross multiply
    8,540.70x = 12,811.05 × 2,992.20
  4. Step 4: Simplify right side
    8,540.70x = 38,333,223.81
  5. Step 5: Solve for x
    x = 38,333,223.81/8,540.70
  6. Step 6: Final answer
    x = 4,488.30

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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.