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Finding the Fourth Proportional to 10,491.34, 15,731.88 and 3,734.67

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Solution

The fourth proportional to 10,491.34, 15,731.88 and 3,734.67 is: 5,600.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.34 : 15,731.88 = 3,734.67 : x
  2. Step 2: Convert to fraction form
    10,491.34/15,731.88 = 3,734.67/x
  3. Step 3: Cross multiply
    10,491.34x = 15,731.88 × 3,734.67
  4. Step 4: Simplify right side
    10,491.34x = 58,753,380.28
  5. Step 5: Solve for x
    x = 58,753,380.28/10,491.34
  6. Step 6: Final answer
    x = 5,600.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.