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Finding the Fourth Proportional to 8,389.98, 12,578.49 and 5,305.50

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Solution

The fourth proportional to 8,389.98, 12,578.49 and 5,305.50 is: 7,954.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.98 : 12,578.49 = 5,305.50 : x
  2. Step 2: Convert to fraction form
    8,389.98/12,578.49 = 5,305.50/x
  3. Step 3: Cross multiply
    8,389.98x = 12,578.49 × 5,305.50
  4. Step 4: Simplify right side
    8,389.98x = 66,735,178.70
  5. Step 5: Solve for x
    x = 66,735,178.70/8,389.98
  6. Step 6: Final answer
    x = 7,954.15

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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.