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Finding the Fourth Proportional to 2,256.76, 3,116.77 and 1,550.47

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Solution

The fourth proportional to 2,256.76, 3,116.77 and 1,550.47 is: 2,141.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.76 : 3,116.77 = 1,550.47 : x
  2. Step 2: Convert to fraction form
    2,256.76/3,116.77 = 1,550.47/x
  3. Step 3: Cross multiply
    2,256.76x = 3,116.77 × 1,550.47
  4. Step 4: Simplify right side
    2,256.76x = 4,832,458.38
  5. Step 5: Solve for x
    x = 4,832,458.38/2,256.76
  6. Step 6: Final answer
    x = 2,141.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.