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Finding the Fourth Proportional to 30,219.72, 41,702.92 and 16,791

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Solution

The fourth proportional to 30,219.72, 41,702.92 and 16,791 is: 23,171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,219.72 : 41,702.92 = 16,791 : x
  2. Step 2: Convert to fraction form
    30,219.72/41,702.92 = 16,791/x
  3. Step 3: Cross multiply
    30,219.72x = 41,702.92 × 16,791
  4. Step 4: Simplify right side
    30,219.72x = 700,233,729.72
  5. Step 5: Solve for x
    x = 700,233,729.72/30,219.72
  6. Step 6: Final answer
    x = 23,171.42

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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.