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Finding the Fourth Proportional to 8,451, 12,662.78 and 5,154.08

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Solution

The fourth proportional to 8,451, 12,662.78 and 5,154.08 is: 7,722.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,451 : 12,662.78 = 5,154.08 : x
  2. Step 2: Convert to fraction form
    8,451/12,662.78 = 5,154.08/x
  3. Step 3: Cross multiply
    8,451x = 12,662.78 × 5,154.08
  4. Step 4: Simplify right side
    8,451x = 65,264,892.06
  5. Step 5: Solve for x
    x = 65,264,892.06/8,451
  6. Step 6: Final answer
    x = 7,722.74

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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.