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Finding the Fourth Proportional to 16,450.25, 24,679.01 and 7,680.38

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Solution

The fourth proportional to 16,450.25, 24,679.01 and 7,680.38 is: 11,522.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,450.25 : 24,679.01 = 7,680.38 : x
  2. Step 2: Convert to fraction form
    16,450.25/24,679.01 = 7,680.38/x
  3. Step 3: Cross multiply
    16,450.25x = 24,679.01 × 7,680.38
  4. Step 4: Simplify right side
    16,450.25x = 189,544,070.63
  5. Step 5: Solve for x
    x = 189,544,070.63/16,450.25
  6. Step 6: Final answer
    x = 11,522.26

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1.5x scale

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.