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Finding the Fourth Proportional to 19,907.98, 29,874.12 and 8,219.68

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Solution

The fourth proportional to 19,907.98, 29,874.12 and 8,219.68 is: 12,334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,907.98 : 29,874.12 = 8,219.68 : x
  2. Step 2: Convert to fraction form
    19,907.98/29,874.12 = 8,219.68/x
  3. Step 3: Cross multiply
    19,907.98x = 29,874.12 × 8,219.68
  4. Step 4: Simplify right side
    19,907.98x = 245,555,601.17
  5. Step 5: Solve for x
    x = 245,555,601.17/19,907.98
  6. Step 6: Final answer
    x = 12,334.53

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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.