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Finding the Fourth Proportional to 13,883.96, 20,804.07 and 7,634.69

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Solution

The fourth proportional to 13,883.96, 20,804.07 and 7,634.69 is: 11,440.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883.96 : 20,804.07 = 7,634.69 : x
  2. Step 2: Convert to fraction form
    13,883.96/20,804.07 = 7,634.69/x
  3. Step 3: Cross multiply
    13,883.96x = 20,804.07 × 7,634.69
  4. Step 4: Simplify right side
    13,883.96x = 158,832,625.19
  5. Step 5: Solve for x
    x = 158,832,625.19/13,883.96
  6. Step 6: Final answer
    x = 11,440.01

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1.5x scale

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.