Home / 1,187.16-1,778.64-1,084.26

Finding the Fourth Proportional to 1,187.16, 1,778.64 and 1,084.26

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Solution

The fourth proportional to 1,187.16, 1,778.64 and 1,084.26 is: 1,624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.16 : 1,778.64 = 1,084.26 : x
  2. Step 2: Convert to fraction form
    1,187.16/1,778.64 = 1,084.26/x
  3. Step 3: Cross multiply
    1,187.16x = 1,778.64 × 1,084.26
  4. Step 4: Simplify right side
    1,187.16x = 1,928,508.21
  5. Step 5: Solve for x
    x = 1,928,508.21/1,187.16
  6. Step 6: Final answer
    x = 1,624.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.