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Finding the Fourth Proportional to 13,851.65, 20,777.31 and 9,398.28

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Solution

The fourth proportional to 13,851.65, 20,777.31 and 9,398.28 is: 14,097.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.65 : 20,777.31 = 9,398.28 : x
  2. Step 2: Convert to fraction form
    13,851.65/20,777.31 = 9,398.28/x
  3. Step 3: Cross multiply
    13,851.65x = 20,777.31 × 9,398.28
  4. Step 4: Simplify right side
    13,851.65x = 195,270,977.03
  5. Step 5: Solve for x
    x = 195,270,977.03/13,851.65
  6. Step 6: Final answer
    x = 14,097.31

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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.