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Finding the Fourth Proportional to 3,169.76, 4,742.76 and 2,197.76

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Solution

The fourth proportional to 3,169.76, 4,742.76 and 2,197.76 is: 3,288.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.76 : 4,742.76 = 2,197.76 : x
  2. Step 2: Convert to fraction form
    3,169.76/4,742.76 = 2,197.76/x
  3. Step 3: Cross multiply
    3,169.76x = 4,742.76 × 2,197.76
  4. Step 4: Simplify right side
    3,169.76x = 10,423,448.22
  5. Step 5: Solve for x
    x = 10,423,448.22/3,169.76
  6. Step 6: Final answer
    x = 3,288.40

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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.