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Finding the Fourth Proportional to 30,998.48, 42,777.60 and 16,850.48

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Solution

The fourth proportional to 30,998.48, 42,777.60 and 16,850.48 is: 23,253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,998.48 : 42,777.60 = 16,850.48 : x
  2. Step 2: Convert to fraction form
    30,998.48/42,777.60 = 16,850.48/x
  3. Step 3: Cross multiply
    30,998.48x = 42,777.60 × 16,850.48
  4. Step 4: Simplify right side
    30,998.48x = 720,823,093.25
  5. Step 5: Solve for x
    x = 720,823,093.25/30,998.48
  6. Step 6: Final answer
    x = 23,253.50

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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.