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Finding the Fourth Proportional to 2,714.24, 4,069.84 and 865.02

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Solution

The fourth proportional to 2,714.24, 4,069.84 and 865.02 is: 1,297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.24 : 4,069.84 = 865.02 : x
  2. Step 2: Convert to fraction form
    2,714.24/4,069.84 = 865.02/x
  3. Step 3: Cross multiply
    2,714.24x = 4,069.84 × 865.02
  4. Step 4: Simplify right side
    2,714.24x = 3,520,493.00
  5. Step 5: Solve for x
    x = 3,520,493.00/2,714.24
  6. Step 6: Final answer
    x = 1,297.05

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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.