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Finding the Fourth Proportional to 2,895, 4,002.30 and 2,772.60

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Solution

The fourth proportional to 2,895, 4,002.30 and 2,772.60 is: 3,833.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895 : 4,002.30 = 2,772.60 : x
  2. Step 2: Convert to fraction form
    2,895/4,002.30 = 2,772.60/x
  3. Step 3: Cross multiply
    2,895x = 4,002.30 × 2,772.60
  4. Step 4: Simplify right side
    2,895x = 11,096,776.98
  5. Step 5: Solve for x
    x = 11,096,776.98/2,895
  6. Step 6: Final answer
    x = 3,833.08

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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.