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Finding the Fourth Proportional to 8,604, 12,908.16 and 2,448

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Solution

The fourth proportional to 8,604, 12,908.16 and 2,448 is: 3,672.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,604 : 12,908.16 = 2,448 : x
  2. Step 2: Convert to fraction form
    8,604/12,908.16 = 2,448/x
  3. Step 3: Cross multiply
    8,604x = 12,908.16 × 2,448
  4. Step 4: Simplify right side
    8,604x = 31,599,175.68
  5. Step 5: Solve for x
    x = 31,599,175.68/8,604
  6. Step 6: Final answer
    x = 3,672.61

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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.