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Finding the Fourth Proportional to 16,431.50, 24,653.95 and 7,661.03

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Solution

The fourth proportional to 16,431.50, 24,653.95 and 7,661.03 is: 11,494.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,431.50 : 24,653.95 = 7,661.03 : x
  2. Step 2: Convert to fraction form
    16,431.50/24,653.95 = 7,661.03/x
  3. Step 3: Cross multiply
    16,431.50x = 24,653.95 × 7,661.03
  4. Step 4: Simplify right side
    16,431.50x = 188,874,508.15
  5. Step 5: Solve for x
    x = 188,874,508.15/16,431.50
  6. Step 6: Final answer
    x = 11,494.66

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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.