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Finding the Fourth Proportional to 2,619.99, 3,929.94 and 865.80

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Solution

The fourth proportional to 2,619.99, 3,929.94 and 865.80 is: 1,298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.99 : 3,929.94 = 865.80 : x
  2. Step 2: Convert to fraction form
    2,619.99/3,929.94 = 865.80/x
  3. Step 3: Cross multiply
    2,619.99x = 3,929.94 × 865.80
  4. Step 4: Simplify right side
    2,619.99x = 3,402,542.05
  5. Step 5: Solve for x
    x = 3,402,542.05/2,619.99
  6. Step 6: Final answer
    x = 1,298.69

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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.