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Finding the Fourth Proportional to 12,408.58, 18,617.73 and 4,618

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Solution

The fourth proportional to 12,408.58, 18,617.73 and 4,618 is: 6,928.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.58 : 18,617.73 = 4,618 : x
  2. Step 2: Convert to fraction form
    12,408.58/18,617.73 = 4,618/x
  3. Step 3: Cross multiply
    12,408.58x = 18,617.73 × 4,618
  4. Step 4: Simplify right side
    12,408.58x = 85,976,677.14
  5. Step 5: Solve for x
    x = 85,976,677.14/12,408.58
  6. Step 6: Final answer
    x = 6,928.81

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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.