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Finding the Fourth Proportional to 30,990, 42,766.04 and 16,842.92

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Solution

The fourth proportional to 30,990, 42,766.04 and 16,842.92 is: 23,243.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,990 : 42,766.04 = 16,842.92 : x
  2. Step 2: Convert to fraction form
    30,990/42,766.04 = 16,842.92/x
  3. Step 3: Cross multiply
    30,990x = 42,766.04 × 16,842.92
  4. Step 4: Simplify right side
    30,990x = 720,304,990.44
  5. Step 5: Solve for x
    x = 720,304,990.44/30,990
  6. Step 6: Final answer
    x = 23,243.14

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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.