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Finding the Fourth Proportional to 1,187.92, 1,771.75 and 1,113.50

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Solution

The fourth proportional to 1,187.92, 1,771.75 and 1,113.50 is: 1,660.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.92 : 1,771.75 = 1,113.50 : x
  2. Step 2: Convert to fraction form
    1,187.92/1,771.75 = 1,113.50/x
  3. Step 3: Cross multiply
    1,187.92x = 1,771.75 × 1,113.50
  4. Step 4: Simplify right side
    1,187.92x = 1,972,834.77
  5. Step 5: Solve for x
    x = 1,972,834.77/1,187.92
  6. Step 6: Final answer
    x = 1,660.75

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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.