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Finding the Fourth Proportional to 2,126.02, 3,189.17 and 739.49

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Solution

The fourth proportional to 2,126.02, 3,189.17 and 739.49 is: 1,109.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.02 : 3,189.17 = 739.49 : x
  2. Step 2: Convert to fraction form
    2,126.02/3,189.17 = 739.49/x
  3. Step 3: Cross multiply
    2,126.02x = 3,189.17 × 739.49
  4. Step 4: Simplify right side
    2,126.02x = 2,358,359.32
  5. Step 5: Solve for x
    x = 2,358,359.32/2,126.02
  6. Step 6: Final answer
    x = 1,109.28

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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.