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Finding the Fourth Proportional to 10,883.90, 15,019.02 and 6,103.49

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Solution

The fourth proportional to 10,883.90, 15,019.02 and 6,103.49 is: 8,422.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,883.90 : 15,019.02 = 6,103.49 : x
  2. Step 2: Convert to fraction form
    10,883.90/15,019.02 = 6,103.49/x
  3. Step 3: Cross multiply
    10,883.90x = 15,019.02 × 6,103.49
  4. Step 4: Simplify right side
    10,883.90x = 91,668,363.28
  5. Step 5: Solve for x
    x = 91,668,363.28/10,883.90
  6. Step 6: Final answer
    x = 8,422.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.