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Finding the Fourth Proportional to 13,767.75, 19,001.12 and 8,178.75

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Solution

The fourth proportional to 13,767.75, 19,001.12 and 8,178.75 is: 11,287.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767.75 : 19,001.12 = 8,178.75 : x
  2. Step 2: Convert to fraction form
    13,767.75/19,001.12 = 8,178.75/x
  3. Step 3: Cross multiply
    13,767.75x = 19,001.12 × 8,178.75
  4. Step 4: Simplify right side
    13,767.75x = 155,405,369.31
  5. Step 5: Solve for x
    x = 155,405,369.31/13,767.75
  6. Step 6: Final answer
    x = 11,287.64

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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.