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Finding the Fourth Proportional to 37,519, 51,774.24 and 20,519.92

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Solution

The fourth proportional to 37,519, 51,774.24 and 20,519.92 is: 28,316.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,519 : 51,774.24 = 20,519.92 : x
  2. Step 2: Convert to fraction form
    37,519/51,774.24 = 20,519.92/x
  3. Step 3: Cross multiply
    37,519x = 51,774.24 × 20,519.92
  4. Step 4: Simplify right side
    37,519x = 1,062,403,262.86
  5. Step 5: Solve for x
    x = 1,062,403,262.86/37,519
  6. Step 6: Final answer
    x = 28,316.41

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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.