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Finding the Fourth Proportional to 8,435.78, 12,653.84 and 2,895.49

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Solution

The fourth proportional to 8,435.78, 12,653.84 and 2,895.49 is: 4,343.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.78 : 12,653.84 = 2,895.49 : x
  2. Step 2: Convert to fraction form
    8,435.78/12,653.84 = 2,895.49/x
  3. Step 3: Cross multiply
    8,435.78x = 12,653.84 × 2,895.49
  4. Step 4: Simplify right side
    8,435.78x = 36,639,067.18
  5. Step 5: Solve for x
    x = 36,639,067.18/8,435.78
  6. Step 6: Final answer
    x = 4,343.29

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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.