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Finding the Fourth Proportional to 4,491.64, 6,733.86 and 3,012.40

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Solution

The fourth proportional to 4,491.64, 6,733.86 and 3,012.40 is: 4,516.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.64 : 6,733.86 = 3,012.40 : x
  2. Step 2: Convert to fraction form
    4,491.64/6,733.86 = 3,012.40/x
  3. Step 3: Cross multiply
    4,491.64x = 6,733.86 × 3,012.40
  4. Step 4: Simplify right side
    4,491.64x = 20,285,079.86
  5. Step 5: Solve for x
    x = 20,285,079.86/4,491.64
  6. Step 6: Final answer
    x = 4,516.19

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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.