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Finding the Fourth Proportional to 2,871.77, 3,961.49 and 1,848

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Solution

The fourth proportional to 2,871.77, 3,961.49 and 1,848 is: 2,549.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.77 : 3,961.49 = 1,848 : x
  2. Step 2: Convert to fraction form
    2,871.77/3,961.49 = 1,848/x
  3. Step 3: Cross multiply
    2,871.77x = 3,961.49 × 1,848
  4. Step 4: Simplify right side
    2,871.77x = 7,320,824.28
  5. Step 5: Solve for x
    x = 7,320,824.28/2,871.77
  6. Step 6: Final answer
    x = 2,549.24

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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.