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Finding the Fourth Proportional to 30,951.54, 42,714 and 18,205.65

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Solution

The fourth proportional to 30,951.54, 42,714 and 18,205.65 is: 25,124.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,951.54 : 42,714 = 18,205.65 : x
  2. Step 2: Convert to fraction form
    30,951.54/42,714 = 18,205.65/x
  3. Step 3: Cross multiply
    30,951.54x = 42,714 × 18,205.65
  4. Step 4: Simplify right side
    30,951.54x = 777,636,134.10
  5. Step 5: Solve for x
    x = 777,636,134.10/30,951.54
  6. Step 6: Final answer
    x = 25,124.31

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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.