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Finding the Fourth Proportional to 6,472.80, 8,931.36 and 3,639.44

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Solution

The fourth proportional to 6,472.80, 8,931.36 and 3,639.44 is: 5,021.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.80 : 8,931.36 = 3,639.44 : x
  2. Step 2: Convert to fraction form
    6,472.80/8,931.36 = 3,639.44/x
  3. Step 3: Cross multiply
    6,472.80x = 8,931.36 × 3,639.44
  4. Step 4: Simplify right side
    6,472.80x = 32,505,148.84
  5. Step 5: Solve for x
    x = 32,505,148.84/6,472.80
  6. Step 6: Final answer
    x = 5,021.81

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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.