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Finding the Fourth Proportional to 13,805.76, 19,051.44 and 8,141.20

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Solution

The fourth proportional to 13,805.76, 19,051.44 and 8,141.20 is: 11,234.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.76 : 19,051.44 = 8,141.20 : x
  2. Step 2: Convert to fraction form
    13,805.76/19,051.44 = 8,141.20/x
  3. Step 3: Cross multiply
    13,805.76x = 19,051.44 × 8,141.20
  4. Step 4: Simplify right side
    13,805.76x = 155,101,583.33
  5. Step 5: Solve for x
    x = 155,101,583.33/13,805.76
  6. Step 6: Final answer
    x = 11,234.56

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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.