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Finding the Fourth Proportional to 9,800.99, 13,522.10 and 5,551.61

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Solution

The fourth proportional to 9,800.99, 13,522.10 and 5,551.61 is: 7,659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.99 : 13,522.10 = 5,551.61 : x
  2. Step 2: Convert to fraction form
    9,800.99/13,522.10 = 5,551.61/x
  3. Step 3: Cross multiply
    9,800.99x = 13,522.10 × 5,551.61
  4. Step 4: Simplify right side
    9,800.99x = 75,069,431.63
  5. Step 5: Solve for x
    x = 75,069,431.63/9,800.99
  6. Step 6: Final answer
    x = 7,659.38

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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.