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Finding the Fourth Proportional to 2,491.24, 3,735.78 and 930.64

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Solution

The fourth proportional to 2,491.24, 3,735.78 and 930.64 is: 1,395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.24 : 3,735.78 = 930.64 : x
  2. Step 2: Convert to fraction form
    2,491.24/3,735.78 = 930.64/x
  3. Step 3: Cross multiply
    2,491.24x = 3,735.78 × 930.64
  4. Step 4: Simplify right side
    2,491.24x = 3,476,666.30
  5. Step 5: Solve for x
    x = 3,476,666.30/2,491.24
  6. Step 6: Final answer
    x = 1,395.56

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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.