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Finding the Fourth Proportional to 1,755.47, 2,631.11 and 817.15

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Solution

The fourth proportional to 1,755.47, 2,631.11 and 817.15 is: 1,224.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.47 : 2,631.11 = 817.15 : x
  2. Step 2: Convert to fraction form
    1,755.47/2,631.11 = 817.15/x
  3. Step 3: Cross multiply
    1,755.47x = 2,631.11 × 817.15
  4. Step 4: Simplify right side
    1,755.47x = 2,150,007.45
  5. Step 5: Solve for x
    x = 2,150,007.45/1,755.47
  6. Step 6: Final answer
    x = 1,224.75

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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.