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Finding the Fourth Proportional to 14,570.52, 20,106.81 and 8,197.22

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Solution

The fourth proportional to 14,570.52, 20,106.81 and 8,197.22 is: 11,311.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,570.52 : 20,106.81 = 8,197.22 : x
  2. Step 2: Convert to fraction form
    14,570.52/20,106.81 = 8,197.22/x
  3. Step 3: Cross multiply
    14,570.52x = 20,106.81 × 8,197.22
  4. Step 4: Simplify right side
    14,570.52x = 164,819,945.07
  5. Step 5: Solve for x
    x = 164,819,945.07/14,570.52
  6. Step 6: Final answer
    x = 11,311.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.