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Finding the Fourth Proportional to 19,899.34, 29,856.84 and 8,209.78

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Solution

The fourth proportional to 19,899.34, 29,856.84 and 8,209.78 is: 12,317.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,899.34 : 29,856.84 = 8,209.78 : x
  2. Step 2: Convert to fraction form
    19,899.34/29,856.84 = 8,209.78/x
  3. Step 3: Cross multiply
    19,899.34x = 29,856.84 × 8,209.78
  4. Step 4: Simplify right side
    19,899.34x = 245,118,087.90
  5. Step 5: Solve for x
    x = 245,118,087.90/19,899.34
  6. Step 6: Final answer
    x = 12,317.90

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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.