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Finding the Fourth Proportional to 19,920.62, 29,874.99 and 6,770

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Solution

The fourth proportional to 19,920.62, 29,874.99 and 6,770 is: 10,152.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,920.62 : 29,874.99 = 6,770 : x
  2. Step 2: Convert to fraction form
    19,920.62/29,874.99 = 6,770/x
  3. Step 3: Cross multiply
    19,920.62x = 29,874.99 × 6,770
  4. Step 4: Simplify right side
    19,920.62x = 202,253,682.30
  5. Step 5: Solve for x
    x = 202,253,682.30/19,920.62
  6. Step 6: Final answer
    x = 10,152.98

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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.