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Finding the Fourth Proportional to 2,714.33, 4,070.63 and 865.02

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Solution

The fourth proportional to 2,714.33, 4,070.63 and 865.02 is: 1,297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.33 : 4,070.63 = 865.02 : x
  2. Step 2: Convert to fraction form
    2,714.33/4,070.63 = 865.02/x
  3. Step 3: Cross multiply
    2,714.33x = 4,070.63 × 865.02
  4. Step 4: Simplify right side
    2,714.33x = 3,521,160.40
  5. Step 5: Solve for x
    x = 3,521,160.40/2,714.33
  6. Step 6: Final answer
    x = 1,297.25

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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.