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Finding the Fourth Proportional to 14,565.22, 20,101.71 and 8,278.54

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Solution

The fourth proportional to 14,565.22, 20,101.71 and 8,278.54 is: 11,425.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,565.22 : 20,101.71 = 8,278.54 : x
  2. Step 2: Convert to fraction form
    14,565.22/20,101.71 = 8,278.54/x
  3. Step 3: Cross multiply
    14,565.22x = 20,101.71 × 8,278.54
  4. Step 4: Simplify right side
    14,565.22x = 166,412,810.30
  5. Step 5: Solve for x
    x = 166,412,810.30/14,565.22
  6. Step 6: Final answer
    x = 11,425.36

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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.