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Finding the Fourth Proportional to 9,144.78, 13,735.80 and 6,029.25

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Solution

The fourth proportional to 9,144.78, 13,735.80 and 6,029.25 is: 9,056.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.78 : 13,735.80 = 6,029.25 : x
  2. Step 2: Convert to fraction form
    9,144.78/13,735.80 = 6,029.25/x
  3. Step 3: Cross multiply
    9,144.78x = 13,735.80 × 6,029.25
  4. Step 4: Simplify right side
    9,144.78x = 82,816,572.15
  5. Step 5: Solve for x
    x = 82,816,572.15/9,144.78
  6. Step 6: Final answer
    x = 9,056.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.