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Finding the Fourth Proportional to 1,517.09, 2,093.08 and 853.80

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Solution

The fourth proportional to 1,517.09, 2,093.08 and 853.80 is: 1,177.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.09 : 2,093.08 = 853.80 : x
  2. Step 2: Convert to fraction form
    1,517.09/2,093.08 = 853.80/x
  3. Step 3: Cross multiply
    1,517.09x = 2,093.08 × 853.80
  4. Step 4: Simplify right side
    1,517.09x = 1,787,071.70
  5. Step 5: Solve for x
    x = 1,787,071.70/1,517.09
  6. Step 6: Final answer
    x = 1,177.96

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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.