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Finding the Fourth Proportional to 30,791.91, 42,492.87 and 16,644.76

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Solution

The fourth proportional to 30,791.91, 42,492.87 and 16,644.76 is: 22,969.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,791.91 : 42,492.87 = 16,644.76 : x
  2. Step 2: Convert to fraction form
    30,791.91/42,492.87 = 16,644.76/x
  3. Step 3: Cross multiply
    30,791.91x = 42,492.87 × 16,644.76
  4. Step 4: Simplify right side
    30,791.91x = 707,283,516.63
  5. Step 5: Solve for x
    x = 707,283,516.63/30,791.91
  6. Step 6: Final answer
    x = 22,969.78

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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.