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Finding the Fourth Proportional to 37,231, 51,378.78 and 20,464

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Solution

The fourth proportional to 37,231, 51,378.78 and 20,464 is: 28,240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,231 : 51,378.78 = 20,464 : x
  2. Step 2: Convert to fraction form
    37,231/51,378.78 = 20,464/x
  3. Step 3: Cross multiply
    37,231x = 51,378.78 × 20,464
  4. Step 4: Simplify right side
    37,231x = 1,051,415,353.92
  5. Step 5: Solve for x
    x = 1,051,415,353.92/37,231
  6. Step 6: Final answer
    x = 28,240.32

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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.