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Finding the Fourth Proportional to 33,200.40, 49,799.40 and 13,478.40

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Solution

The fourth proportional to 33,200.40, 49,799.40 and 13,478.40 is: 20,217.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,200.40 : 49,799.40 = 13,478.40 : x
  2. Step 2: Convert to fraction form
    33,200.40/49,799.40 = 13,478.40/x
  3. Step 3: Cross multiply
    33,200.40x = 49,799.40 × 13,478.40
  4. Step 4: Simplify right side
    33,200.40x = 671,216,232.96
  5. Step 5: Solve for x
    x = 671,216,232.96/33,200.40
  6. Step 6: Final answer
    x = 20,217.11

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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.