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Finding the Fourth Proportional to 19,775.06, 29,662.97 and 9,242.20

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Solution

The fourth proportional to 19,775.06, 29,662.97 and 9,242.20 is: 13,863.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,775.06 : 29,662.97 = 9,242.20 : x
  2. Step 2: Convert to fraction form
    19,775.06/29,662.97 = 9,242.20/x
  3. Step 3: Cross multiply
    19,775.06x = 29,662.97 × 9,242.20
  4. Step 4: Simplify right side
    19,775.06x = 274,150,980.97
  5. Step 5: Solve for x
    x = 274,150,980.97/19,775.06
  6. Step 6: Final answer
    x = 13,863.47

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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.