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Finding the Fourth Proportional to 8,671.88, 13,006.42 and 2,828.48

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Solution

The fourth proportional to 8,671.88, 13,006.42 and 2,828.48 is: 4,242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671.88 : 13,006.42 = 2,828.48 : x
  2. Step 2: Convert to fraction form
    8,671.88/13,006.42 = 2,828.48/x
  3. Step 3: Cross multiply
    8,671.88x = 13,006.42 × 2,828.48
  4. Step 4: Simplify right side
    8,671.88x = 36,788,398.84
  5. Step 5: Solve for x
    x = 36,788,398.84/8,671.88
  6. Step 6: Final answer
    x = 4,242.26

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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.