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Finding the Fourth Proportional to 30,990.72, 42,765.84 and 16,843.20

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Solution

The fourth proportional to 30,990.72, 42,765.84 and 16,843.20 is: 23,242.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,990.72 : 42,765.84 = 16,843.20 : x
  2. Step 2: Convert to fraction form
    30,990.72/42,765.84 = 16,843.20/x
  3. Step 3: Cross multiply
    30,990.72x = 42,765.84 × 16,843.20
  4. Step 4: Simplify right side
    30,990.72x = 720,313,596.29
  5. Step 5: Solve for x
    x = 720,313,596.29/30,990.72
  6. Step 6: Final answer
    x = 23,242.88

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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.