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Finding the Fourth Proportional to 5,187.69, 7,782.72 and 1,489.95

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Solution

The fourth proportional to 5,187.69, 7,782.72 and 1,489.95 is: 2,235.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.69 : 7,782.72 = 1,489.95 : x
  2. Step 2: Convert to fraction form
    5,187.69/7,782.72 = 1,489.95/x
  3. Step 3: Cross multiply
    5,187.69x = 7,782.72 × 1,489.95
  4. Step 4: Simplify right side
    5,187.69x = 11,595,863.66
  5. Step 5: Solve for x
    x = 11,595,863.66/5,187.69
  6. Step 6: Final answer
    x = 2,235.27

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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.