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Finding the Fourth Proportional to 2,784, 3,841.92 and 1,542

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Solution

The fourth proportional to 2,784, 3,841.92 and 1,542 is: 2,127.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784 : 3,841.92 = 1,542 : x
  2. Step 2: Convert to fraction form
    2,784/3,841.92 = 1,542/x
  3. Step 3: Cross multiply
    2,784x = 3,841.92 × 1,542
  4. Step 4: Simplify right side
    2,784x = 5,924,240.64
  5. Step 5: Solve for x
    x = 5,924,240.64/2,784
  6. Step 6: Final answer
    x = 2,127.96

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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.