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Finding the Fourth Proportional to 13,071.72, 18,030 and 8,353.80

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Solution

The fourth proportional to 13,071.72, 18,030 and 8,353.80 is: 11,522.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,071.72 : 18,030 = 8,353.80 : x
  2. Step 2: Convert to fraction form
    13,071.72/18,030 = 8,353.80/x
  3. Step 3: Cross multiply
    13,071.72x = 18,030 × 8,353.80
  4. Step 4: Simplify right side
    13,071.72x = 150,619,014
  5. Step 5: Solve for x
    x = 150,619,014/13,071.72
  6. Step 6: Final answer
    x = 11,522.51

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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.