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Finding the Fourth Proportional to 16,478, 24,720.11 and 6,618.05

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Solution

The fourth proportional to 16,478, 24,720.11 and 6,618.05 is: 9,928.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,478 : 24,720.11 = 6,618.05 : x
  2. Step 2: Convert to fraction form
    16,478/24,720.11 = 6,618.05/x
  3. Step 3: Cross multiply
    16,478x = 24,720.11 × 6,618.05
  4. Step 4: Simplify right side
    16,478x = 163,598,923.99
  5. Step 5: Solve for x
    x = 163,598,923.99/16,478
  6. Step 6: Final answer
    x = 9,928.32

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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.