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Finding the Fourth Proportional to 8,878.17, 13,318 and 2,553.07

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Solution

The fourth proportional to 8,878.17, 13,318 and 2,553.07 is: 3,829.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,878.17 : 13,318 = 2,553.07 : x
  2. Step 2: Convert to fraction form
    8,878.17/13,318 = 2,553.07/x
  3. Step 3: Cross multiply
    8,878.17x = 13,318 × 2,553.07
  4. Step 4: Simplify right side
    8,878.17x = 34,001,786.26
  5. Step 5: Solve for x
    x = 34,001,786.26/8,878.17
  6. Step 6: Final answer
    x = 3,829.82

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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.