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Finding the Fourth Proportional to 13,204.32, 19,809.78 and 9,316.32

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Solution

The fourth proportional to 13,204.32, 19,809.78 and 9,316.32 is: 13,976.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.32 : 19,809.78 = 9,316.32 : x
  2. Step 2: Convert to fraction form
    13,204.32/19,809.78 = 9,316.32/x
  3. Step 3: Cross multiply
    13,204.32x = 19,809.78 × 9,316.32
  4. Step 4: Simplify right side
    13,204.32x = 184,554,249.61
  5. Step 5: Solve for x
    x = 184,554,249.61/13,204.32
  6. Step 6: Final answer
    x = 13,976.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.