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Finding the Fourth Proportional to 37,487.50, 51,732.76 and 20,720.50

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Solution

The fourth proportional to 37,487.50, 51,732.76 and 20,720.50 is: 28,594.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,487.50 : 51,732.76 = 20,720.50 : x
  2. Step 2: Convert to fraction form
    37,487.50/51,732.76 = 20,720.50/x
  3. Step 3: Cross multiply
    37,487.50x = 51,732.76 × 20,720.50
  4. Step 4: Simplify right side
    37,487.50x = 1,071,928,653.58
  5. Step 5: Solve for x
    x = 1,071,928,653.58/37,487.50
  6. Step 6: Final answer
    x = 28,594.30

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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.