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Finding the Fourth Proportional to 13,073, 18,040.74 and 7,185

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Solution

The fourth proportional to 13,073, 18,040.74 and 7,185 is: 9,915.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,073 : 18,040.74 = 7,185 : x
  2. Step 2: Convert to fraction form
    13,073/18,040.74 = 7,185/x
  3. Step 3: Cross multiply
    13,073x = 18,040.74 × 7,185
  4. Step 4: Simplify right side
    13,073x = 129,622,716.90
  5. Step 5: Solve for x
    x = 129,622,716.90/13,073
  6. Step 6: Final answer
    x = 9,915.30

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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.