Home / 2,130.48-3,194.81-743.40

Finding the Fourth Proportional to 2,130.48, 3,194.81 and 743.40

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Solution

The fourth proportional to 2,130.48, 3,194.81 and 743.40 is: 1,114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.48 : 3,194.81 = 743.40 : x
  2. Step 2: Convert to fraction form
    2,130.48/3,194.81 = 743.40/x
  3. Step 3: Cross multiply
    2,130.48x = 3,194.81 × 743.40
  4. Step 4: Simplify right side
    2,130.48x = 2,375,018.04
  5. Step 5: Solve for x
    x = 2,375,018.04/2,130.48
  6. Step 6: Final answer
    x = 1,114.78

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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.