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Finding the Fourth Proportional to 8,812.60, 12,161.78 and 4,834

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Solution

The fourth proportional to 8,812.60, 12,161.78 and 4,834 is: 6,671.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,812.60 : 12,161.78 = 4,834 : x
  2. Step 2: Convert to fraction form
    8,812.60/12,161.78 = 4,834/x
  3. Step 3: Cross multiply
    8,812.60x = 12,161.78 × 4,834
  4. Step 4: Simplify right side
    8,812.60x = 58,790,044.52
  5. Step 5: Solve for x
    x = 58,790,044.52/8,812.60
  6. Step 6: Final answer
    x = 6,671.14

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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.