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Finding the Fourth Proportional to 2,170.73, 3,255.32 and 783.71

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Solution

The fourth proportional to 2,170.73, 3,255.32 and 783.71 is: 1,175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.73 : 3,255.32 = 783.71 : x
  2. Step 2: Convert to fraction form
    2,170.73/3,255.32 = 783.71/x
  3. Step 3: Cross multiply
    2,170.73x = 3,255.32 × 783.71
  4. Step 4: Simplify right side
    2,170.73x = 2,551,224.73
  5. Step 5: Solve for x
    x = 2,551,224.73/2,170.73
  6. Step 6: Final answer
    x = 1,175.28

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1.5x scale

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.