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Finding the Fourth Proportional to 3,409.72, 4,701.72 and 2,963.68

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Solution

The fourth proportional to 3,409.72, 4,701.72 and 2,963.68 is: 4,086.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.72 : 4,701.72 = 2,963.68 : x
  2. Step 2: Convert to fraction form
    3,409.72/4,701.72 = 2,963.68/x
  3. Step 3: Cross multiply
    3,409.72x = 4,701.72 × 2,963.68
  4. Step 4: Simplify right side
    3,409.72x = 13,934,393.53
  5. Step 5: Solve for x
    x = 13,934,393.53/3,409.72
  6. Step 6: Final answer
    x = 4,086.67

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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.