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Finding the Fourth Proportional to 9,205, 13,808.22 and 3,049

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Solution

The fourth proportional to 9,205, 13,808.22 and 3,049 is: 4,573.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205 : 13,808.22 = 3,049 : x
  2. Step 2: Convert to fraction form
    9,205/13,808.22 = 3,049/x
  3. Step 3: Cross multiply
    9,205x = 13,808.22 × 3,049
  4. Step 4: Simplify right side
    9,205x = 42,101,262.78
  5. Step 5: Solve for x
    x = 42,101,262.78/9,205
  6. Step 6: Final answer
    x = 4,573.74

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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.