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Finding the Fourth Proportional to 13,767.88, 19,001.28 and 8,178.88

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Solution

The fourth proportional to 13,767.88, 19,001.28 and 8,178.88 is: 11,287.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767.88 : 19,001.28 = 8,178.88 : x
  2. Step 2: Convert to fraction form
    13,767.88/19,001.28 = 8,178.88/x
  3. Step 3: Cross multiply
    13,767.88x = 19,001.28 × 8,178.88
  4. Step 4: Simplify right side
    13,767.88x = 155,409,188.97
  5. Step 5: Solve for x
    x = 155,409,188.97/13,767.88
  6. Step 6: Final answer
    x = 11,287.81

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1.5x scale

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.