Home / 2,097.20-3,130.66-1,838

Finding the Fourth Proportional to 2,097.20, 3,130.66 and 1,838

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Solution

The fourth proportional to 2,097.20, 3,130.66 and 1,838 is: 2,743.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.20 : 3,130.66 = 1,838 : x
  2. Step 2: Convert to fraction form
    2,097.20/3,130.66 = 1,838/x
  3. Step 3: Cross multiply
    2,097.20x = 3,130.66 × 1,838
  4. Step 4: Simplify right side
    2,097.20x = 5,754,153.08
  5. Step 5: Solve for x
    x = 5,754,153.08/2,097.20
  6. Step 6: Final answer
    x = 2,743.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.