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Finding the Fourth Proportional to 9,107.89, 13,663.65 and 2,869.48

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Solution

The fourth proportional to 9,107.89, 13,663.65 and 2,869.48 is: 4,304.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.89 : 13,663.65 = 2,869.48 : x
  2. Step 2: Convert to fraction form
    9,107.89/13,663.65 = 2,869.48/x
  3. Step 3: Cross multiply
    9,107.89x = 13,663.65 × 2,869.48
  4. Step 4: Simplify right side
    9,107.89x = 39,207,570.40
  5. Step 5: Solve for x
    x = 39,207,570.40/9,107.89
  6. Step 6: Final answer
    x = 4,304.79

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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.