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Finding the Fourth Proportional to 13,763.64, 18,993.74 and 7,475.96

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Solution

The fourth proportional to 13,763.64, 18,993.74 and 7,475.96 is: 10,316.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,763.64 : 18,993.74 = 7,475.96 : x
  2. Step 2: Convert to fraction form
    13,763.64/18,993.74 = 7,475.96/x
  3. Step 3: Cross multiply
    13,763.64x = 18,993.74 × 7,475.96
  4. Step 4: Simplify right side
    13,763.64x = 141,996,440.49
  5. Step 5: Solve for x
    x = 141,996,440.49/13,763.64
  6. Step 6: Final answer
    x = 10,316.78

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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.