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Finding the Fourth Proportional to 33,164.80, 49,730.10 and 9,788.20

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Solution

The fourth proportional to 33,164.80, 49,730.10 and 9,788.20 is: 14,677.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,164.80 : 49,730.10 = 9,788.20 : x
  2. Step 2: Convert to fraction form
    33,164.80/49,730.10 = 9,788.20/x
  3. Step 3: Cross multiply
    33,164.80x = 49,730.10 × 9,788.20
  4. Step 4: Simplify right side
    33,164.80x = 486,768,164.82
  5. Step 5: Solve for x
    x = 486,768,164.82/33,164.80
  6. Step 6: Final answer
    x = 14,677.25

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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.