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Finding the Fourth Proportional to 16,403.21, 24,608.72 and 5,309.90

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Solution

The fourth proportional to 16,403.21, 24,608.72 and 5,309.90 is: 7,966.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,403.21 : 24,608.72 = 5,309.90 : x
  2. Step 2: Convert to fraction form
    16,403.21/24,608.72 = 5,309.90/x
  3. Step 3: Cross multiply
    16,403.21x = 24,608.72 × 5,309.90
  4. Step 4: Simplify right side
    16,403.21x = 130,669,692.73
  5. Step 5: Solve for x
    x = 130,669,692.73/16,403.21
  6. Step 6: Final answer
    x = 7,966.11

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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.