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Finding the Fourth Proportional to 30,379.80, 41,924 and 16,951.08

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Solution

The fourth proportional to 30,379.80, 41,924 and 16,951.08 is: 23,392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,379.80 : 41,924 = 16,951.08 : x
  2. Step 2: Convert to fraction form
    30,379.80/41,924 = 16,951.08/x
  3. Step 3: Cross multiply
    30,379.80x = 41,924 × 16,951.08
  4. Step 4: Simplify right side
    30,379.80x = 710,657,077.92
  5. Step 5: Solve for x
    x = 710,657,077.92/30,379.80
  6. Step 6: Final answer
    x = 23,392.42

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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.