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Finding the Fourth Proportional to 30,989.96, 42,766.98 and 16,843.76

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Solution

The fourth proportional to 30,989.96, 42,766.98 and 16,843.76 is: 23,244.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,989.96 : 42,766.98 = 16,843.76 : x
  2. Step 2: Convert to fraction form
    30,989.96/42,766.98 = 16,843.76/x
  3. Step 3: Cross multiply
    30,989.96x = 42,766.98 × 16,843.76
  4. Step 4: Simplify right side
    30,989.96x = 720,356,747.04
  5. Step 5: Solve for x
    x = 720,356,747.04/30,989.96
  6. Step 6: Final answer
    x = 23,244.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.