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Finding the Fourth Proportional to 14,909.31, 20,575.08 and 8,195.22

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Solution

The fourth proportional to 14,909.31, 20,575.08 and 8,195.22 is: 11,309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,909.31 : 20,575.08 = 8,195.22 : x
  2. Step 2: Convert to fraction form
    14,909.31/20,575.08 = 8,195.22/x
  3. Step 3: Cross multiply
    14,909.31x = 20,575.08 × 8,195.22
  4. Step 4: Simplify right side
    14,909.31x = 168,617,307.12
  5. Step 5: Solve for x
    x = 168,617,307.12/14,909.31
  6. Step 6: Final answer
    x = 11,309.53

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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.