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Finding the Fourth Proportional to 37,644, 51,949.25 and 20,649.86

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Solution

The fourth proportional to 37,644, 51,949.25 and 20,649.86 is: 28,497.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,644 : 51,949.25 = 20,649.86 : x
  2. Step 2: Convert to fraction form
    37,644/51,949.25 = 20,649.86/x
  3. Step 3: Cross multiply
    37,644x = 51,949.25 × 20,649.86
  4. Step 4: Simplify right side
    37,644x = 1,072,744,739.61
  5. Step 5: Solve for x
    x = 1,072,744,739.61/37,644
  6. Step 6: Final answer
    x = 28,497.10

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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.