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Finding the Fourth Proportional to 12,396.40, 18,570.24 and 7,451.44

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Solution

The fourth proportional to 12,396.40, 18,570.24 and 7,451.44 is: 11,162.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,396.40 : 18,570.24 = 7,451.44 : x
  2. Step 2: Convert to fraction form
    12,396.40/18,570.24 = 7,451.44/x
  3. Step 3: Cross multiply
    12,396.40x = 18,570.24 × 7,451.44
  4. Step 4: Simplify right side
    12,396.40x = 138,375,029.15
  5. Step 5: Solve for x
    x = 138,375,029.15/12,396.40
  6. Step 6: Final answer
    x = 11,162.52

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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.