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Finding the Fourth Proportional to 8,857, 13,283.43 and 2,617.42

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Solution

The fourth proportional to 8,857, 13,283.43 and 2,617.42 is: 3,925.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,857 : 13,283.43 = 2,617.42 : x
  2. Step 2: Convert to fraction form
    8,857/13,283.43 = 2,617.42/x
  3. Step 3: Cross multiply
    8,857x = 13,283.43 × 2,617.42
  4. Step 4: Simplify right side
    8,857x = 34,768,315.35
  5. Step 5: Solve for x
    x = 34,768,315.35/8,857
  6. Step 6: Final answer
    x = 3,925.52

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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.