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Finding the Fourth Proportional to 16,399.32, 22,631.02 and 9,325.75

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Solution

The fourth proportional to 16,399.32, 22,631.02 and 9,325.75 is: 12,869.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,399.32 : 22,631.02 = 9,325.75 : x
  2. Step 2: Convert to fraction form
    16,399.32/22,631.02 = 9,325.75/x
  3. Step 3: Cross multiply
    16,399.32x = 22,631.02 × 9,325.75
  4. Step 4: Simplify right side
    16,399.32x = 211,051,234.77
  5. Step 5: Solve for x
    x = 211,051,234.77/16,399.32
  6. Step 6: Final answer
    x = 12,869.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.