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Finding the Fourth Proportional to 4,714.82, 7,071.42 and 2,636.90

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Solution

The fourth proportional to 4,714.82, 7,071.42 and 2,636.90 is: 3,954.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.82 : 7,071.42 = 2,636.90 : x
  2. Step 2: Convert to fraction form
    4,714.82/7,071.42 = 2,636.90/x
  3. Step 3: Cross multiply
    4,714.82x = 7,071.42 × 2,636.90
  4. Step 4: Simplify right side
    4,714.82x = 18,646,627.40
  5. Step 5: Solve for x
    x = 18,646,627.40/4,714.82
  6. Step 6: Final answer
    x = 3,954.90

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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.