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Finding the Fourth Proportional to 14,961.60, 22,431.60 and 8,389.80

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Solution

The fourth proportional to 14,961.60, 22,431.60 and 8,389.80 is: 12,578.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,961.60 : 22,431.60 = 8,389.80 : x
  2. Step 2: Convert to fraction form
    14,961.60/22,431.60 = 8,389.80/x
  3. Step 3: Cross multiply
    14,961.60x = 22,431.60 × 8,389.80
  4. Step 4: Simplify right side
    14,961.60x = 188,196,637.68
  5. Step 5: Solve for x
    x = 188,196,637.68/14,961.60
  6. Step 6: Final answer
    x = 12,578.64

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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.