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Finding the Fourth Proportional to 1,187.87, 1,773.47 and 1,071.23

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Solution

The fourth proportional to 1,187.87, 1,773.47 and 1,071.23 is: 1,599.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.87 : 1,773.47 = 1,071.23 : x
  2. Step 2: Convert to fraction form
    1,187.87/1,773.47 = 1,071.23/x
  3. Step 3: Cross multiply
    1,187.87x = 1,773.47 × 1,071.23
  4. Step 4: Simplify right side
    1,187.87x = 1,899,793.35
  5. Step 5: Solve for x
    x = 1,899,793.35/1,187.87
  6. Step 6: Final answer
    x = 1,599.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.