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Finding the Fourth Proportional to 33,151.80, 49,710.60 and 9,775.20

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Solution

The fourth proportional to 33,151.80, 49,710.60 and 9,775.20 is: 14,657.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,151.80 : 49,710.60 = 9,775.20 : x
  2. Step 2: Convert to fraction form
    33,151.80/49,710.60 = 9,775.20/x
  3. Step 3: Cross multiply
    33,151.80x = 49,710.60 × 9,775.20
  4. Step 4: Simplify right side
    33,151.80x = 485,931,057.12
  5. Step 5: Solve for x
    x = 485,931,057.12/33,151.80
  6. Step 6: Final answer
    x = 14,657.76

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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.