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Finding the Fourth Proportional to 10,111.72, 13,954.23 and 5,865.30

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Solution

The fourth proportional to 10,111.72, 13,954.23 and 5,865.30 is: 8,094.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,111.72 : 13,954.23 = 5,865.30 : x
  2. Step 2: Convert to fraction form
    10,111.72/13,954.23 = 5,865.30/x
  3. Step 3: Cross multiply
    10,111.72x = 13,954.23 × 5,865.30
  4. Step 4: Simplify right side
    10,111.72x = 81,845,745.22
  5. Step 5: Solve for x
    x = 81,845,745.22/10,111.72
  6. Step 6: Final answer
    x = 8,094.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.