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Finding the Fourth Proportional to 2,938.64, 4,407.99 and 747.37

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Solution

The fourth proportional to 2,938.64, 4,407.99 and 747.37 is: 1,121.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.64 : 4,407.99 = 747.37 : x
  2. Step 2: Convert to fraction form
    2,938.64/4,407.99 = 747.37/x
  3. Step 3: Cross multiply
    2,938.64x = 4,407.99 × 747.37
  4. Step 4: Simplify right side
    2,938.64x = 3,294,388.47
  5. Step 5: Solve for x
    x = 3,294,388.47/2,938.64
  6. Step 6: Final answer
    x = 1,121.06

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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.