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Finding the Fourth Proportional to 13,265.80, 19,892.22 and 7,721.08

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Solution

The fourth proportional to 13,265.80, 19,892.22 and 7,721.08 is: 11,577.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,265.80 : 19,892.22 = 7,721.08 : x
  2. Step 2: Convert to fraction form
    13,265.80/19,892.22 = 7,721.08/x
  3. Step 3: Cross multiply
    13,265.80x = 19,892.22 × 7,721.08
  4. Step 4: Simplify right side
    13,265.80x = 153,589,422.00
  5. Step 5: Solve for x
    x = 153,589,422.00/13,265.80
  6. Step 6: Final answer
    x = 11,577.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.