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Finding the Fourth Proportional to 37,486.50, 51,731.38 and 20,719.50

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Solution

The fourth proportional to 37,486.50, 51,731.38 and 20,719.50 is: 28,592.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,486.50 : 51,731.38 = 20,719.50 : x
  2. Step 2: Convert to fraction form
    37,486.50/51,731.38 = 20,719.50/x
  3. Step 3: Cross multiply
    37,486.50x = 51,731.38 × 20,719.50
  4. Step 4: Simplify right side
    37,486.50x = 1,071,848,327.91
  5. Step 5: Solve for x
    x = 1,071,848,327.91/37,486.50
  6. Step 6: Final answer
    x = 28,592.92

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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.