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Finding the Fourth Proportional to 13,129.74, 18,125.73 and 10,138.86

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Solution

The fourth proportional to 13,129.74, 18,125.73 and 10,138.86 is: 13,996.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.74 : 18,125.73 = 10,138.86 : x
  2. Step 2: Convert to fraction form
    13,129.74/18,125.73 = 10,138.86/x
  3. Step 3: Cross multiply
    13,129.74x = 18,125.73 × 10,138.86
  4. Step 4: Simplify right side
    13,129.74x = 183,774,238.87
  5. Step 5: Solve for x
    x = 183,774,238.87/13,129.74
  6. Step 6: Final answer
    x = 13,996.79

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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.