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Finding the Fourth Proportional to 11,102.31, 16,653.74 and 5,259.51

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Solution

The fourth proportional to 11,102.31, 16,653.74 and 5,259.51 is: 7,889.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.31 : 16,653.74 = 5,259.51 : x
  2. Step 2: Convert to fraction form
    11,102.31/16,653.74 = 5,259.51/x
  3. Step 3: Cross multiply
    11,102.31x = 16,653.74 × 5,259.51
  4. Step 4: Simplify right side
    11,102.31x = 87,590,485.77
  5. Step 5: Solve for x
    x = 87,590,485.77/11,102.31
  6. Step 6: Final answer
    x = 7,889.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.