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Finding the Fourth Proportional to 9,225.96, 12,731.54 and 5,247.64

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Solution

The fourth proportional to 9,225.96, 12,731.54 and 5,247.64 is: 7,241.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.96 : 12,731.54 = 5,247.64 : x
  2. Step 2: Convert to fraction form
    9,225.96/12,731.54 = 5,247.64/x
  3. Step 3: Cross multiply
    9,225.96x = 12,731.54 × 5,247.64
  4. Step 4: Simplify right side
    9,225.96x = 66,810,538.57
  5. Step 5: Solve for x
    x = 66,810,538.57/9,225.96
  6. Step 6: Final answer
    x = 7,241.58

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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.