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Finding the Fourth Proportional to 3,938.93, 5,909.76 and 1,749.20

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Solution

The fourth proportional to 3,938.93, 5,909.76 and 1,749.20 is: 2,624.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.93 : 5,909.76 = 1,749.20 : x
  2. Step 2: Convert to fraction form
    3,938.93/5,909.76 = 1,749.20/x
  3. Step 3: Cross multiply
    3,938.93x = 5,909.76 × 1,749.20
  4. Step 4: Simplify right side
    3,938.93x = 10,337,322.64
  5. Step 5: Solve for x
    x = 10,337,322.64/3,938.93
  6. Step 6: Final answer
    x = 2,624.40

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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.