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Finding the Fourth Proportional to 16,230, 24,357.24 and 8,438.16

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Solution

The fourth proportional to 16,230, 24,357.24 and 8,438.16 is: 12,663.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,230 : 24,357.24 = 8,438.16 : x
  2. Step 2: Convert to fraction form
    16,230/24,357.24 = 8,438.16/x
  3. Step 3: Cross multiply
    16,230x = 24,357.24 × 8,438.16
  4. Step 4: Simplify right side
    16,230x = 205,530,288.28
  5. Step 5: Solve for x
    x = 205,530,288.28/16,230
  6. Step 6: Final answer
    x = 12,663.60

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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.