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Finding the Fourth Proportional to 16,165.60, 24,238.80 and 8,389.60

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Solution

The fourth proportional to 16,165.60, 24,238.80 and 8,389.60 is: 12,579.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.60 : 24,238.80 = 8,389.60 : x
  2. Step 2: Convert to fraction form
    16,165.60/24,238.80 = 8,389.60/x
  3. Step 3: Cross multiply
    16,165.60x = 24,238.80 × 8,389.60
  4. Step 4: Simplify right side
    16,165.60x = 203,353,836.48
  5. Step 5: Solve for x
    x = 203,353,836.48/16,165.60
  6. Step 6: Final answer
    x = 12,579.42

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1.5x scale

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.