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Finding the Fourth Proportional to 1,081.50, 1,495.17 and 1,035.60

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Solution

The fourth proportional to 1,081.50, 1,495.17 and 1,035.60 is: 1,431.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.50 : 1,495.17 = 1,035.60 : x
  2. Step 2: Convert to fraction form
    1,081.50/1,495.17 = 1,035.60/x
  3. Step 3: Cross multiply
    1,081.50x = 1,495.17 × 1,035.60
  4. Step 4: Simplify right side
    1,081.50x = 1,548,398.05
  5. Step 5: Solve for x
    x = 1,548,398.05/1,081.50
  6. Step 6: Final answer
    x = 1,431.71

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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.