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Finding the Fourth Proportional to 23,647.80, 35,438.31 and 13,122.48

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Solution

The fourth proportional to 23,647.80, 35,438.31 and 13,122.48 is: 19,665.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,647.80 : 35,438.31 = 13,122.48 : x
  2. Step 2: Convert to fraction form
    23,647.80/35,438.31 = 13,122.48/x
  3. Step 3: Cross multiply
    23,647.80x = 35,438.31 × 13,122.48
  4. Step 4: Simplify right side
    23,647.80x = 465,038,514.21
  5. Step 5: Solve for x
    x = 465,038,514.21/23,647.80
  6. Step 6: Final answer
    x = 19,665.19

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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.