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Finding the Fourth Proportional to 1,491.57, 2,240.15 and 1,369.67

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Solution

The fourth proportional to 1,491.57, 2,240.15 and 1,369.67 is: 2,057.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.57 : 2,240.15 = 1,369.67 : x
  2. Step 2: Convert to fraction form
    1,491.57/2,240.15 = 1,369.67/x
  3. Step 3: Cross multiply
    1,491.57x = 2,240.15 × 1,369.67
  4. Step 4: Simplify right side
    1,491.57x = 3,068,248.20
  5. Step 5: Solve for x
    x = 3,068,248.20/1,491.57
  6. Step 6: Final answer
    x = 2,057.06

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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.