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Finding the Fourth Proportional to 13,065, 18,029.70 and 7,177

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Solution

The fourth proportional to 13,065, 18,029.70 and 7,177 is: 9,904.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,065 : 18,029.70 = 7,177 : x
  2. Step 2: Convert to fraction form
    13,065/18,029.70 = 7,177/x
  3. Step 3: Cross multiply
    13,065x = 18,029.70 × 7,177
  4. Step 4: Simplify right side
    13,065x = 129,399,156.90
  5. Step 5: Solve for x
    x = 129,399,156.90/13,065
  6. Step 6: Final answer
    x = 9,904.26

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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.