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Finding the Fourth Proportional to 1,517.22, 2,093.84 and 854.14

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Solution

The fourth proportional to 1,517.22, 2,093.84 and 854.14 is: 1,178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.22 : 2,093.84 = 854.14 : x
  2. Step 2: Convert to fraction form
    1,517.22/2,093.84 = 854.14/x
  3. Step 3: Cross multiply
    1,517.22x = 2,093.84 × 854.14
  4. Step 4: Simplify right side
    1,517.22x = 1,788,430.84
  5. Step 5: Solve for x
    x = 1,788,430.84/1,517.22
  6. Step 6: Final answer
    x = 1,178.76

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1.5x scale

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.