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Finding the Fourth Proportional to 8,722.54, 12,037.13 and 4,743.64

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Solution

The fourth proportional to 8,722.54, 12,037.13 and 4,743.64 is: 6,546.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,722.54 : 12,037.13 = 4,743.64 : x
  2. Step 2: Convert to fraction form
    8,722.54/12,037.13 = 4,743.64/x
  3. Step 3: Cross multiply
    8,722.54x = 12,037.13 × 4,743.64
  4. Step 4: Simplify right side
    8,722.54x = 57,099,811.35
  5. Step 5: Solve for x
    x = 57,099,811.35/8,722.54
  6. Step 6: Final answer
    x = 6,546.24

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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.