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Finding the Fourth Proportional to 2,877.34, 3,972.36 and 2,199.82

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Solution

The fourth proportional to 2,877.34, 3,972.36 and 2,199.82 is: 3,037.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.34 : 3,972.36 = 2,199.82 : x
  2. Step 2: Convert to fraction form
    2,877.34/3,972.36 = 2,199.82/x
  3. Step 3: Cross multiply
    2,877.34x = 3,972.36 × 2,199.82
  4. Step 4: Simplify right side
    2,877.34x = 8,738,476.98
  5. Step 5: Solve for x
    x = 8,738,476.98/2,877.34
  6. Step 6: Final answer
    x = 3,037.00

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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.