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Finding the Fourth Proportional to 8,304, 12,456.24 and 2,148

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Solution

The fourth proportional to 8,304, 12,456.24 and 2,148 is: 3,222.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304 : 12,456.24 = 2,148 : x
  2. Step 2: Convert to fraction form
    8,304/12,456.24 = 2,148/x
  3. Step 3: Cross multiply
    8,304x = 12,456.24 × 2,148
  4. Step 4: Simplify right side
    8,304x = 26,756,003.52
  5. Step 5: Solve for x
    x = 26,756,003.52/8,304
  6. Step 6: Final answer
    x = 3,222.06

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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.