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Finding the Fourth Proportional to 1,089.50, 1,500.09 and 961.61

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Solution

The fourth proportional to 1,089.50, 1,500.09 and 961.61 is: 1,324.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.50 : 1,500.09 = 961.61 : x
  2. Step 2: Convert to fraction form
    1,089.50/1,500.09 = 961.61/x
  3. Step 3: Cross multiply
    1,089.50x = 1,500.09 × 961.61
  4. Step 4: Simplify right side
    1,089.50x = 1,442,501.54
  5. Step 5: Solve for x
    x = 1,442,501.54/1,089.50
  6. Step 6: Final answer
    x = 1,324.00

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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.