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Finding the Fourth Proportional to 9,846.75, 13,588.77 and 6,072.42

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Solution

The fourth proportional to 9,846.75, 13,588.77 and 6,072.42 is: 8,380.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.75 : 13,588.77 = 6,072.42 : x
  2. Step 2: Convert to fraction form
    9,846.75/13,588.77 = 6,072.42/x
  3. Step 3: Cross multiply
    9,846.75x = 13,588.77 × 6,072.42
  4. Step 4: Simplify right side
    9,846.75x = 82,516,718.72
  5. Step 5: Solve for x
    x = 82,516,718.72/9,846.75
  6. Step 6: Final answer
    x = 8,380.10

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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.