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Finding the Fourth Proportional to 30,989.92, 42,764.32 and 16,842.68

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Solution

The fourth proportional to 30,989.92, 42,764.32 and 16,842.68 is: 23,241.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,989.92 : 42,764.32 = 16,842.68 : x
  2. Step 2: Convert to fraction form
    30,989.92/42,764.32 = 16,842.68/x
  3. Step 3: Cross multiply
    30,989.92x = 42,764.32 × 16,842.68
  4. Step 4: Simplify right side
    30,989.92x = 720,265,757.18
  5. Step 5: Solve for x
    x = 720,265,757.18/30,989.92
  6. Step 6: Final answer
    x = 23,241.94

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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.