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Finding the Fourth Proportional to 14,975.82, 20,665.53 and 8,261.46

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Solution

The fourth proportional to 14,975.82, 20,665.53 and 8,261.46 is: 11,400.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,975.82 : 20,665.53 = 8,261.46 : x
  2. Step 2: Convert to fraction form
    14,975.82/20,665.53 = 8,261.46/x
  3. Step 3: Cross multiply
    14,975.82x = 20,665.53 × 8,261.46
  4. Step 4: Simplify right side
    14,975.82x = 170,727,449.47
  5. Step 5: Solve for x
    x = 170,727,449.47/14,975.82
  6. Step 6: Final answer
    x = 11,400.21

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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.