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Finding the Fourth Proportional to 8,665.12, 12,997.14 and 2,821.24

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Solution

The fourth proportional to 8,665.12, 12,997.14 and 2,821.24 is: 4,231.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,665.12 : 12,997.14 = 2,821.24 : x
  2. Step 2: Convert to fraction form
    8,665.12/12,997.14 = 2,821.24/x
  3. Step 3: Cross multiply
    8,665.12x = 12,997.14 × 2,821.24
  4. Step 4: Simplify right side
    8,665.12x = 36,668,051.25
  5. Step 5: Solve for x
    x = 36,668,051.25/8,665.12
  6. Step 6: Final answer
    x = 4,231.68

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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.