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Finding the Fourth Proportional to 9,137.85, 13,706.78 and 2,564.61

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Solution

The fourth proportional to 9,137.85, 13,706.78 and 2,564.61 is: 3,846.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.85 : 13,706.78 = 2,564.61 : x
  2. Step 2: Convert to fraction form
    9,137.85/13,706.78 = 2,564.61/x
  3. Step 3: Cross multiply
    9,137.85x = 13,706.78 × 2,564.61
  4. Step 4: Simplify right side
    9,137.85x = 35,152,532.23
  5. Step 5: Solve for x
    x = 35,152,532.23/9,137.85
  6. Step 6: Final answer
    x = 3,846.92

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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.