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Finding the Fourth Proportional to 16,672, 25,008 and 6,816.64

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Solution

The fourth proportional to 16,672, 25,008 and 6,816.64 is: 10,224.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,672 : 25,008 = 6,816.64 : x
  2. Step 2: Convert to fraction form
    16,672/25,008 = 6,816.64/x
  3. Step 3: Cross multiply
    16,672x = 25,008 × 6,816.64
  4. Step 4: Simplify right side
    16,672x = 170,470,533.12
  5. Step 5: Solve for x
    x = 170,470,533.12/16,672
  6. Step 6: Final answer
    x = 10,224.96

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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.