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Finding the Fourth Proportional to 8,466.30, 12,697.02 and 2,919.42

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Solution

The fourth proportional to 8,466.30, 12,697.02 and 2,919.42 is: 4,378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.30 : 12,697.02 = 2,919.42 : x
  2. Step 2: Convert to fraction form
    8,466.30/12,697.02 = 2,919.42/x
  3. Step 3: Cross multiply
    8,466.30x = 12,697.02 × 2,919.42
  4. Step 4: Simplify right side
    8,466.30x = 37,067,934.13
  5. Step 5: Solve for x
    x = 37,067,934.13/8,466.30
  6. Step 6: Final answer
    x = 4,378.29

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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.