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Finding the Fourth Proportional to 2,717.12, 3,742.98 and 1,968.86

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Solution

The fourth proportional to 2,717.12, 3,742.98 and 1,968.86 is: 2,712.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.12 : 3,742.98 = 1,968.86 : x
  2. Step 2: Convert to fraction form
    2,717.12/3,742.98 = 1,968.86/x
  3. Step 3: Cross multiply
    2,717.12x = 3,742.98 × 1,968.86
  4. Step 4: Simplify right side
    2,717.12x = 7,369,403.60
  5. Step 5: Solve for x
    x = 7,369,403.60/2,717.12
  6. Step 6: Final answer
    x = 2,712.21

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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.