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Finding the Fourth Proportional to 30,958.84, 42,734.10 and 18,383.50

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Solution

The fourth proportional to 30,958.84, 42,734.10 and 18,383.50 is: 25,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,958.84 : 42,734.10 = 18,383.50 : x
  2. Step 2: Convert to fraction form
    30,958.84/42,734.10 = 18,383.50/x
  3. Step 3: Cross multiply
    30,958.84x = 42,734.10 × 18,383.50
  4. Step 4: Simplify right side
    30,958.84x = 785,602,327.35
  5. Step 5: Solve for x
    x = 785,602,327.35/30,958.84
  6. Step 6: Final answer
    x = 25,375.70

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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.