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Finding the Fourth Proportional to 8,920.98, 13,383 and 2,998.43

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Solution

The fourth proportional to 8,920.98, 13,383 and 2,998.43 is: 4,498.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,920.98 : 13,383 = 2,998.43 : x
  2. Step 2: Convert to fraction form
    8,920.98/13,383 = 2,998.43/x
  3. Step 3: Cross multiply
    8,920.98x = 13,383 × 2,998.43
  4. Step 4: Simplify right side
    8,920.98x = 40,127,988.69
  5. Step 5: Solve for x
    x = 40,127,988.69/8,920.98
  6. Step 6: Final answer
    x = 4,498.16

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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.