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Finding the Fourth Proportional to 30,990.41, 42,765.03 and 16,843.16

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Solution

The fourth proportional to 30,990.41, 42,765.03 and 16,843.16 is: 23,242.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,990.41 : 42,765.03 = 16,843.16 : x
  2. Step 2: Convert to fraction form
    30,990.41/42,765.03 = 16,843.16/x
  3. Step 3: Cross multiply
    30,990.41x = 42,765.03 × 16,843.16
  4. Step 4: Simplify right side
    30,990.41x = 720,298,242.69
  5. Step 5: Solve for x
    x = 720,298,242.69/30,990.41
  6. Step 6: Final answer
    x = 23,242.62

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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.