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Finding the Fourth Proportional to 9,921, 13,690.98 and 5,505

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Solution

The fourth proportional to 9,921, 13,690.98 and 5,505 is: 7,596.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921 : 13,690.98 = 5,505 : x
  2. Step 2: Convert to fraction form
    9,921/13,690.98 = 5,505/x
  3. Step 3: Cross multiply
    9,921x = 13,690.98 × 5,505
  4. Step 4: Simplify right side
    9,921x = 75,368,844.90
  5. Step 5: Solve for x
    x = 75,368,844.90/9,921
  6. Step 6: Final answer
    x = 7,596.90

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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.