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Finding the Fourth Proportional to 2,491.06, 3,735.97 and 735.72

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Solution

The fourth proportional to 2,491.06, 3,735.97 and 735.72 is: 1,103.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.06 : 3,735.97 = 735.72 : x
  2. Step 2: Convert to fraction form
    2,491.06/3,735.97 = 735.72/x
  3. Step 3: Cross multiply
    2,491.06x = 3,735.97 × 735.72
  4. Step 4: Simplify right side
    2,491.06x = 2,748,627.85
  5. Step 5: Solve for x
    x = 2,748,627.85/2,491.06
  6. Step 6: Final answer
    x = 1,103.40

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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.