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Finding the Fourth Proportional to 2,714.03, 4,070.95 and 865.25

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Solution

The fourth proportional to 2,714.03, 4,070.95 and 865.25 is: 1,297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.03 : 4,070.95 = 865.25 : x
  2. Step 2: Convert to fraction form
    2,714.03/4,070.95 = 865.25/x
  3. Step 3: Cross multiply
    2,714.03x = 4,070.95 × 865.25
  4. Step 4: Simplify right side
    2,714.03x = 3,522,364.81
  5. Step 5: Solve for x
    x = 3,522,364.81/2,714.03
  6. Step 6: Final answer
    x = 1,297.84

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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.