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Finding the Fourth Proportional to 8,665, 12,998.85 and 2,820.23

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Solution

The fourth proportional to 8,665, 12,998.85 and 2,820.23 is: 4,230.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,665 : 12,998.85 = 2,820.23 : x
  2. Step 2: Convert to fraction form
    8,665/12,998.85 = 2,820.23/x
  3. Step 3: Cross multiply
    8,665x = 12,998.85 × 2,820.23
  4. Step 4: Simplify right side
    8,665x = 36,659,746.74
  5. Step 5: Solve for x
    x = 36,659,746.74/8,665
  6. Step 6: Final answer
    x = 4,230.78

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1.5x scale

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.