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Finding the Fourth Proportional to 8,142.84, 12,204.54 and 4,446

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Solution

The fourth proportional to 8,142.84, 12,204.54 and 4,446 is: 6,663.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.84 : 12,204.54 = 4,446 : x
  2. Step 2: Convert to fraction form
    8,142.84/12,204.54 = 4,446/x
  3. Step 3: Cross multiply
    8,142.84x = 12,204.54 × 4,446
  4. Step 4: Simplify right side
    8,142.84x = 54,261,384.84
  5. Step 5: Solve for x
    x = 54,261,384.84/8,142.84
  6. Step 6: Final answer
    x = 6,663.69

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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.