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Finding the Fourth Proportional to 2,620.21, 3,929.29 and 865.14

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Solution

The fourth proportional to 2,620.21, 3,929.29 and 865.14 is: 1,297.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.21 : 3,929.29 = 865.14 : x
  2. Step 2: Convert to fraction form
    2,620.21/3,929.29 = 865.14/x
  3. Step 3: Cross multiply
    2,620.21x = 3,929.29 × 865.14
  4. Step 4: Simplify right side
    2,620.21x = 3,399,385.95
  5. Step 5: Solve for x
    x = 3,399,385.95/2,620.21
  6. Step 6: Final answer
    x = 1,297.37

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1.5x scale

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.