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Finding the Fourth Proportional to 3,708, 5,116.96 and 2,114.54

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Solution

The fourth proportional to 3,708, 5,116.96 and 2,114.54 is: 2,918.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708 : 5,116.96 = 2,114.54 : x
  2. Step 2: Convert to fraction form
    3,708/5,116.96 = 2,114.54/x
  3. Step 3: Cross multiply
    3,708x = 5,116.96 × 2,114.54
  4. Step 4: Simplify right side
    3,708x = 10,819,980.44
  5. Step 5: Solve for x
    x = 10,819,980.44/3,708
  6. Step 6: Final answer
    x = 2,918.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.