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Finding the Fourth Proportional to 9,562.72, 13,160.60 and 8,090

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Solution

The fourth proportional to 9,562.72, 13,160.60 and 8,090 is: 11,133.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.72 : 13,160.60 = 8,090 : x
  2. Step 2: Convert to fraction form
    9,562.72/13,160.60 = 8,090/x
  3. Step 3: Cross multiply
    9,562.72x = 13,160.60 × 8,090
  4. Step 4: Simplify right side
    9,562.72x = 106,469,254
  5. Step 5: Solve for x
    x = 106,469,254/9,562.72
  6. Step 6: Final answer
    x = 11,133.78

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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.