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Finding the Fourth Proportional to 3,491.56, 5,234.10 and 1,299.76

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Solution

The fourth proportional to 3,491.56, 5,234.10 and 1,299.76 is: 1,948.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.56 : 5,234.10 = 1,299.76 : x
  2. Step 2: Convert to fraction form
    3,491.56/5,234.10 = 1,299.76/x
  3. Step 3: Cross multiply
    3,491.56x = 5,234.10 × 1,299.76
  4. Step 4: Simplify right side
    3,491.56x = 6,803,073.82
  5. Step 5: Solve for x
    x = 6,803,073.82/3,491.56
  6. Step 6: Final answer
    x = 1,948.43

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1.5x scale

Why These Related Problems?

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