Home / 1,182.69-1,765.37-1,097.13

Finding the Fourth Proportional to 1,182.69, 1,765.37 and 1,097.13

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Solution

The fourth proportional to 1,182.69, 1,765.37 and 1,097.13 is: 1,637.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.69 : 1,765.37 = 1,097.13 : x
  2. Step 2: Convert to fraction form
    1,182.69/1,765.37 = 1,097.13/x
  3. Step 3: Cross multiply
    1,182.69x = 1,765.37 × 1,097.13
  4. Step 4: Simplify right side
    1,182.69x = 1,936,840.39
  5. Step 5: Solve for x
    x = 1,936,840.39/1,182.69
  6. Step 6: Final answer
    x = 1,637.66

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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.