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Finding the Fourth Proportional to 13,163.70, 19,739.15 and 7,314.10

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Solution

The fourth proportional to 13,163.70, 19,739.15 and 7,314.10 is: 10,967.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,163.70 : 19,739.15 = 7,314.10 : x
  2. Step 2: Convert to fraction form
    13,163.70/19,739.15 = 7,314.10/x
  3. Step 3: Cross multiply
    13,163.70x = 19,739.15 × 7,314.10
  4. Step 4: Simplify right side
    13,163.70x = 144,374,117.02
  5. Step 5: Solve for x
    x = 144,374,117.02/13,163.70
  6. Step 6: Final answer
    x = 10,967.59

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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.