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Finding the Fourth Proportional to 16,225, 24,338.70 and 6,991

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Solution

The fourth proportional to 16,225, 24,338.70 and 6,991 is: 10,487.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,225 : 24,338.70 = 6,991 : x
  2. Step 2: Convert to fraction form
    16,225/24,338.70 = 6,991/x
  3. Step 3: Cross multiply
    16,225x = 24,338.70 × 6,991
  4. Step 4: Simplify right side
    16,225x = 170,151,851.70
  5. Step 5: Solve for x
    x = 170,151,851.70/16,225
  6. Step 6: Final answer
    x = 10,487.02

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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.