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Finding the Fourth Proportional to 13,783.24, 19,014.78 and 8,191

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Solution

The fourth proportional to 13,783.24, 19,014.78 and 8,191 is: 11,299.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.24 : 19,014.78 = 8,191 : x
  2. Step 2: Convert to fraction form
    13,783.24/19,014.78 = 8,191/x
  3. Step 3: Cross multiply
    13,783.24x = 19,014.78 × 8,191
  4. Step 4: Simplify right side
    13,783.24x = 155,750,062.98
  5. Step 5: Solve for x
    x = 155,750,062.98/13,783.24
  6. Step 6: Final answer
    x = 11,299.96

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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.