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Finding the Fourth Proportional to 9,240.92, 12,752.26 and 5,207.72

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Solution

The fourth proportional to 9,240.92, 12,752.26 and 5,207.72 is: 7,186.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240.92 : 12,752.26 = 5,207.72 : x
  2. Step 2: Convert to fraction form
    9,240.92/12,752.26 = 5,207.72/x
  3. Step 3: Cross multiply
    9,240.92x = 12,752.26 × 5,207.72
  4. Step 4: Simplify right side
    9,240.92x = 66,410,199.45
  5. Step 5: Solve for x
    x = 66,410,199.45/9,240.92
  6. Step 6: Final answer
    x = 7,186.54

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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.