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Finding the Fourth Proportional to 37,431.50, 51,655.57 and 20,664.50

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Solution

The fourth proportional to 37,431.50, 51,655.57 and 20,664.50 is: 28,517.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,431.50 : 51,655.57 = 20,664.50 : x
  2. Step 2: Convert to fraction form
    37,431.50/51,655.57 = 20,664.50/x
  3. Step 3: Cross multiply
    37,431.50x = 51,655.57 × 20,664.50
  4. Step 4: Simplify right side
    37,431.50x = 1,067,436,526.27
  5. Step 5: Solve for x
    x = 1,067,436,526.27/37,431.50
  6. Step 6: Final answer
    x = 28,517.07

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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.