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Finding the Fourth Proportional to 8,497, 11,725.86 and 4,772.20

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Solution

The fourth proportional to 8,497, 11,725.86 and 4,772.20 is: 6,585.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497 : 11,725.86 = 4,772.20 : x
  2. Step 2: Convert to fraction form
    8,497/11,725.86 = 4,772.20/x
  3. Step 3: Cross multiply
    8,497x = 11,725.86 × 4,772.20
  4. Step 4: Simplify right side
    8,497x = 55,958,149.09
  5. Step 5: Solve for x
    x = 55,958,149.09/8,497
  6. Step 6: Final answer
    x = 6,585.64

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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.