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Finding the Fourth Proportional to 2,659.98, 3,990 and 712.14

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Solution

The fourth proportional to 2,659.98, 3,990 and 712.14 is: 1,068.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.98 : 3,990 = 712.14 : x
  2. Step 2: Convert to fraction form
    2,659.98/3,990 = 712.14/x
  3. Step 3: Cross multiply
    2,659.98x = 3,990 × 712.14
  4. Step 4: Simplify right side
    2,659.98x = 2,841,438.60
  5. Step 5: Solve for x
    x = 2,841,438.60/2,659.98
  6. Step 6: Final answer
    x = 1,068.22

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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.