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Finding the Fourth Proportional to 8,497.69, 12,747.51 and 2,257.79

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Solution

The fourth proportional to 8,497.69, 12,747.51 and 2,257.79 is: 3,386.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.69 : 12,747.51 = 2,257.79 : x
  2. Step 2: Convert to fraction form
    8,497.69/12,747.51 = 2,257.79/x
  3. Step 3: Cross multiply
    8,497.69x = 12,747.51 × 2,257.79
  4. Step 4: Simplify right side
    8,497.69x = 28,781,136.87
  5. Step 5: Solve for x
    x = 28,781,136.87/8,497.69
  6. Step 6: Final answer
    x = 3,386.94

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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.