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Finding the Fourth Proportional to 9,919, 13,688.22 and 5,503

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Solution

The fourth proportional to 9,919, 13,688.22 and 5,503 is: 7,594.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919 : 13,688.22 = 5,503 : x
  2. Step 2: Convert to fraction form
    9,919/13,688.22 = 5,503/x
  3. Step 3: Cross multiply
    9,919x = 13,688.22 × 5,503
  4. Step 4: Simplify right side
    9,919x = 75,326,274.66
  5. Step 5: Solve for x
    x = 75,326,274.66/9,919
  6. Step 6: Final answer
    x = 7,594.14

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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.