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Finding the Fourth Proportional to 30,992.34, 42,768.23 and 16,844.88

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Solution

The fourth proportional to 30,992.34, 42,768.23 and 16,844.88 is: 23,245.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,992.34 : 42,768.23 = 16,844.88 : x
  2. Step 2: Convert to fraction form
    30,992.34/42,768.23 = 16,844.88/x
  3. Step 3: Cross multiply
    30,992.34x = 42,768.23 × 16,844.88
  4. Step 4: Simplify right side
    30,992.34x = 720,425,617.94
  5. Step 5: Solve for x
    x = 720,425,617.94/30,992.34
  6. Step 6: Final answer
    x = 23,245.28

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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.