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Finding the Fourth Proportional to 12,408.74, 18,614.40 and 5,012

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Solution

The fourth proportional to 12,408.74, 18,614.40 and 5,012 is: 7,518.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.74 : 18,614.40 = 5,012 : x
  2. Step 2: Convert to fraction form
    12,408.74/18,614.40 = 5,012/x
  3. Step 3: Cross multiply
    12,408.74x = 18,614.40 × 5,012
  4. Step 4: Simplify right side
    12,408.74x = 93,295,372.80
  5. Step 5: Solve for x
    x = 93,295,372.80/12,408.74
  6. Step 6: Final answer
    x = 7,518.52

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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.