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Finding the Fourth Proportional to 3,848, 5,772.90 and 1,250.94

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Solution

The fourth proportional to 3,848, 5,772.90 and 1,250.94 is: 1,876.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848 : 5,772.90 = 1,250.94 : x
  2. Step 2: Convert to fraction form
    3,848/5,772.90 = 1,250.94/x
  3. Step 3: Cross multiply
    3,848x = 5,772.90 × 1,250.94
  4. Step 4: Simplify right side
    3,848x = 7,221,551.53
  5. Step 5: Solve for x
    x = 7,221,551.53/3,848
  6. Step 6: Final answer
    x = 1,876.70

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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.