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Finding the Fourth Proportional to 10,617.80, 14,654.25 and 6,144.27

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Solution

The fourth proportional to 10,617.80, 14,654.25 and 6,144.27 is: 8,480.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.80 : 14,654.25 = 6,144.27 : x
  2. Step 2: Convert to fraction form
    10,617.80/14,654.25 = 6,144.27/x
  3. Step 3: Cross multiply
    10,617.80x = 14,654.25 × 6,144.27
  4. Step 4: Simplify right side
    10,617.80x = 90,039,613.69
  5. Step 5: Solve for x
    x = 90,039,613.69/10,617.80
  6. Step 6: Final answer
    x = 8,480.07

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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.