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Finding the Fourth Proportional to 3,076, 4,611.84 and 1,127.92

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Solution

The fourth proportional to 3,076, 4,611.84 and 1,127.92 is: 1,691.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076 : 4,611.84 = 1,127.92 : x
  2. Step 2: Convert to fraction form
    3,076/4,611.84 = 1,127.92/x
  3. Step 3: Cross multiply
    3,076x = 4,611.84 × 1,127.92
  4. Step 4: Simplify right side
    3,076x = 5,201,786.57
  5. Step 5: Solve for x
    x = 5,201,786.57/3,076
  6. Step 6: Final answer
    x = 1,691.09

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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.