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Finding the Fourth Proportional to 13,767, 19,003.38 and 8,178

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Solution

The fourth proportional to 13,767, 19,003.38 and 8,178 is: 11,288.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767 : 19,003.38 = 8,178 : x
  2. Step 2: Convert to fraction form
    13,767/19,003.38 = 8,178/x
  3. Step 3: Cross multiply
    13,767x = 19,003.38 × 8,178
  4. Step 4: Simplify right side
    13,767x = 155,409,641.64
  5. Step 5: Solve for x
    x = 155,409,641.64/13,767
  6. Step 6: Final answer
    x = 11,288.56

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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.