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Finding the Fourth Proportional to 13,808.67, 19,057.04 and 7,842.21

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Solution

The fourth proportional to 13,808.67, 19,057.04 and 7,842.21 is: 10,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.67 : 19,057.04 = 7,842.21 : x
  2. Step 2: Convert to fraction form
    13,808.67/19,057.04 = 7,842.21/x
  3. Step 3: Cross multiply
    13,808.67x = 19,057.04 × 7,842.21
  4. Step 4: Simplify right side
    13,808.67x = 149,449,309.66
  5. Step 5: Solve for x
    x = 149,449,309.66/13,808.67
  6. Step 6: Final answer
    x = 10,822.86

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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.