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Finding the Fourth Proportional to 13,099.08, 18,074.70 and 7,509

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Solution

The fourth proportional to 13,099.08, 18,074.70 and 7,509 is: 10,361.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.08 : 18,074.70 = 7,509 : x
  2. Step 2: Convert to fraction form
    13,099.08/18,074.70 = 7,509/x
  3. Step 3: Cross multiply
    13,099.08x = 18,074.70 × 7,509
  4. Step 4: Simplify right side
    13,099.08x = 135,722,922.30
  5. Step 5: Solve for x
    x = 135,722,922.30/13,099.08
  6. Step 6: Final answer
    x = 10,361.26

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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.