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Finding the Fourth Proportional to 3,142.52, 4,710.06 and 1,192.82

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Solution

The fourth proportional to 3,142.52, 4,710.06 and 1,192.82 is: 1,787.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.52 : 4,710.06 = 1,192.82 : x
  2. Step 2: Convert to fraction form
    3,142.52/4,710.06 = 1,192.82/x
  3. Step 3: Cross multiply
    3,142.52x = 4,710.06 × 1,192.82
  4. Step 4: Simplify right side
    3,142.52x = 5,618,253.77
  5. Step 5: Solve for x
    x = 5,618,253.77/3,142.52
  6. Step 6: Final answer
    x = 1,787.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.