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Finding the Fourth Proportional to 14,567.80, 20,104.86 and 8,282.20

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Solution

The fourth proportional to 14,567.80, 20,104.86 and 8,282.20 is: 11,430.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,567.80 : 20,104.86 = 8,282.20 : x
  2. Step 2: Convert to fraction form
    14,567.80/20,104.86 = 8,282.20/x
  3. Step 3: Cross multiply
    14,567.80x = 20,104.86 × 8,282.20
  4. Step 4: Simplify right side
    14,567.80x = 166,512,471.49
  5. Step 5: Solve for x
    x = 166,512,471.49/14,567.80
  6. Step 6: Final answer
    x = 11,430.17

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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.