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Finding the Fourth Proportional to 9,181.10, 13,773.10 and 5,487.50

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Solution

The fourth proportional to 9,181.10, 13,773.10 and 5,487.50 is: 8,232.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.10 : 13,773.10 = 5,487.50 : x
  2. Step 2: Convert to fraction form
    9,181.10/13,773.10 = 5,487.50/x
  3. Step 3: Cross multiply
    9,181.10x = 13,773.10 × 5,487.50
  4. Step 4: Simplify right side
    9,181.10x = 75,579,886.25
  5. Step 5: Solve for x
    x = 75,579,886.25/9,181.10
  6. Step 6: Final answer
    x = 8,232.12

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Why These Related Problems?

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