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Finding the Fourth Proportional to 15,853.97, 23,782.77 and 9,280.22

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Solution

The fourth proportional to 15,853.97, 23,782.77 and 9,280.22 is: 13,921.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,853.97 : 23,782.77 = 9,280.22 : x
  2. Step 2: Convert to fraction form
    15,853.97/23,782.77 = 9,280.22/x
  3. Step 3: Cross multiply
    15,853.97x = 23,782.77 × 9,280.22
  4. Step 4: Simplify right side
    15,853.97x = 220,709,218.90
  5. Step 5: Solve for x
    x = 220,709,218.90/15,853.97
  6. Step 6: Final answer
    x = 13,921.39

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