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Finding the Fourth Proportional to 8,894.82, 12,265.62 and 7,640

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Solution

The fourth proportional to 8,894.82, 12,265.62 and 7,640 is: 10,535.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894.82 : 12,265.62 = 7,640 : x
  2. Step 2: Convert to fraction form
    8,894.82/12,265.62 = 7,640/x
  3. Step 3: Cross multiply
    8,894.82x = 12,265.62 × 7,640
  4. Step 4: Simplify right side
    8,894.82x = 93,709,336.80
  5. Step 5: Solve for x
    x = 93,709,336.80/8,894.82
  6. Step 6: Final answer
    x = 10,535.27

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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.