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Finding the Fourth Proportional to 16,245.08, 24,357.72 and 6,389

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Solution

The fourth proportional to 16,245.08, 24,357.72 and 6,389 is: 9,579.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,245.08 : 24,357.72 = 6,389 : x
  2. Step 2: Convert to fraction form
    16,245.08/24,357.72 = 6,389/x
  3. Step 3: Cross multiply
    16,245.08x = 24,357.72 × 6,389
  4. Step 4: Simplify right side
    16,245.08x = 155,621,473.08
  5. Step 5: Solve for x
    x = 155,621,473.08/16,245.08
  6. Step 6: Final answer
    x = 9,579.61

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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.