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Finding the Fourth Proportional to 19,886.20, 29,828.82 and 8,200.12

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Solution

The fourth proportional to 19,886.20, 29,828.82 and 8,200.12 is: 12,299.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,886.20 : 29,828.82 = 8,200.12 : x
  2. Step 2: Convert to fraction form
    19,886.20/29,828.82 = 8,200.12/x
  3. Step 3: Cross multiply
    19,886.20x = 29,828.82 × 8,200.12
  4. Step 4: Simplify right side
    19,886.20x = 244,599,903.46
  5. Step 5: Solve for x
    x = 244,599,903.46/19,886.20
  6. Step 6: Final answer
    x = 12,299.98

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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.