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Finding the Fourth Proportional to 3,787.06, 5,679.90 and 1,153.93

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Solution

The fourth proportional to 3,787.06, 5,679.90 and 1,153.93 is: 1,730.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.06 : 5,679.90 = 1,153.93 : x
  2. Step 2: Convert to fraction form
    3,787.06/5,679.90 = 1,153.93/x
  3. Step 3: Cross multiply
    3,787.06x = 5,679.90 × 1,153.93
  4. Step 4: Simplify right side
    3,787.06x = 6,554,201.24
  5. Step 5: Solve for x
    x = 6,554,201.24/3,787.06
  6. Step 6: Final answer
    x = 1,730.69

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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.