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Finding the Fourth Proportional to 9,129.72, 13,696.10 and 3,205.07

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Solution

The fourth proportional to 9,129.72, 13,696.10 and 3,205.07 is: 4,808.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.72 : 13,696.10 = 3,205.07 : x
  2. Step 2: Convert to fraction form
    9,129.72/13,696.10 = 3,205.07/x
  3. Step 3: Cross multiply
    9,129.72x = 13,696.10 × 3,205.07
  4. Step 4: Simplify right side
    9,129.72x = 43,896,993.47
  5. Step 5: Solve for x
    x = 43,896,993.47/9,129.72
  6. Step 6: Final answer
    x = 4,808.14

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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.