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Finding the Fourth Proportional to 8,560, 12,834.24 and 3,940.48

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Solution

The fourth proportional to 8,560, 12,834.24 and 3,940.48 is: 5,908.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,560 : 12,834.24 = 3,940.48 : x
  2. Step 2: Convert to fraction form
    8,560/12,834.24 = 3,940.48/x
  3. Step 3: Cross multiply
    8,560x = 12,834.24 × 3,940.48
  4. Step 4: Simplify right side
    8,560x = 50,573,066.04
  5. Step 5: Solve for x
    x = 50,573,066.04/8,560
  6. Step 6: Final answer
    x = 5,908.07

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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.