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Finding the Fourth Proportional to 2,491.49, 3,735.94 and 930.21

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Solution

The fourth proportional to 2,491.49, 3,735.94 and 930.21 is: 1,394.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.49 : 3,735.94 = 930.21 : x
  2. Step 2: Convert to fraction form
    2,491.49/3,735.94 = 930.21/x
  3. Step 3: Cross multiply
    2,491.49x = 3,735.94 × 930.21
  4. Step 4: Simplify right side
    2,491.49x = 3,475,194.76
  5. Step 5: Solve for x
    x = 3,475,194.76/2,491.49
  6. Step 6: Final answer
    x = 1,394.83

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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.