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Finding the Fourth Proportional to 30,993, 42,777.12 and 20,383.60

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Solution

The fourth proportional to 30,993, 42,777.12 and 20,383.60 is: 28,133.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,993 : 42,777.12 = 20,383.60 : x
  2. Step 2: Convert to fraction form
    30,993/42,777.12 = 20,383.60/x
  3. Step 3: Cross multiply
    30,993x = 42,777.12 × 20,383.60
  4. Step 4: Simplify right side
    30,993x = 871,951,703.23
  5. Step 5: Solve for x
    x = 871,951,703.23/30,993
  6. Step 6: Final answer
    x = 28,133.83

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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.