Home / 2,154.63-3,231.14-767.59

Finding the Fourth Proportional to 2,154.63, 3,231.14 and 767.59

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Solution

The fourth proportional to 2,154.63, 3,231.14 and 767.59 is: 1,151.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.63 : 3,231.14 = 767.59 : x
  2. Step 2: Convert to fraction form
    2,154.63/3,231.14 = 767.59/x
  3. Step 3: Cross multiply
    2,154.63x = 3,231.14 × 767.59
  4. Step 4: Simplify right side
    2,154.63x = 2,480,200.61
  5. Step 5: Solve for x
    x = 2,480,200.61/2,154.63
  6. Step 6: Final answer
    x = 1,151.11

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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.