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Finding the Fourth Proportional to 12,568.16, 18,842.52 and 8,408

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Solution

The fourth proportional to 12,568.16, 18,842.52 and 8,408 is: 12,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,568.16 : 18,842.52 = 8,408 : x
  2. Step 2: Convert to fraction form
    12,568.16/18,842.52 = 8,408/x
  3. Step 3: Cross multiply
    12,568.16x = 18,842.52 × 8,408
  4. Step 4: Simplify right side
    12,568.16x = 158,427,908.16
  5. Step 5: Solve for x
    x = 158,427,908.16/12,568.16
  6. Step 6: Final answer
    x = 12,605.50

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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.