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Finding the Fourth Proportional to 33,841.70, 46,705.90 and 20,420.20

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Solution

The fourth proportional to 33,841.70, 46,705.90 and 20,420.20 is: 28,182.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,841.70 : 46,705.90 = 20,420.20 : x
  2. Step 2: Convert to fraction form
    33,841.70/46,705.90 = 20,420.20/x
  3. Step 3: Cross multiply
    33,841.70x = 46,705.90 × 20,420.20
  4. Step 4: Simplify right side
    33,841.70x = 953,743,819.18
  5. Step 5: Solve for x
    x = 953,743,819.18/33,841.70
  6. Step 6: Final answer
    x = 28,182.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.