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Finding the Fourth Proportional to 7,507.81, 11,262.74 and 2,576.81

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Solution

The fourth proportional to 7,507.81, 11,262.74 and 2,576.81 is: 3,865.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507.81 : 11,262.74 = 2,576.81 : x
  2. Step 2: Convert to fraction form
    7,507.81/11,262.74 = 2,576.81/x
  3. Step 3: Cross multiply
    7,507.81x = 11,262.74 × 2,576.81
  4. Step 4: Simplify right side
    7,507.81x = 29,021,896.02
  5. Step 5: Solve for x
    x = 29,021,896.02/7,507.81
  6. Step 6: Final answer
    x = 3,865.56

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1.5x scale

Why These Related Problems?

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