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Finding the Fourth Proportional to 9,913, 13,679.94 and 5,497

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Solution

The fourth proportional to 9,913, 13,679.94 and 5,497 is: 7,585.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913 : 13,679.94 = 5,497 : x
  2. Step 2: Convert to fraction form
    9,913/13,679.94 = 5,497/x
  3. Step 3: Cross multiply
    9,913x = 13,679.94 × 5,497
  4. Step 4: Simplify right side
    9,913x = 75,198,630.18
  5. Step 5: Solve for x
    x = 75,198,630.18/9,913
  6. Step 6: Final answer
    x = 7,585.86

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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.