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Finding the Fourth Proportional to 13,851.97, 20,754.31 and 7,617.20

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Solution

The fourth proportional to 13,851.97, 20,754.31 and 7,617.20 is: 11,412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.97 : 20,754.31 = 7,617.20 : x
  2. Step 2: Convert to fraction form
    13,851.97/20,754.31 = 7,617.20/x
  3. Step 3: Cross multiply
    13,851.97x = 20,754.31 × 7,617.20
  4. Step 4: Simplify right side
    13,851.97x = 158,089,730.13
  5. Step 5: Solve for x
    x = 158,089,730.13/13,851.97
  6. Step 6: Final answer
    x = 11,412.80

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1.5x scale

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.