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Finding the Fourth Proportional to 7,614.72, 11,376 and 7,571.52

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Solution

The fourth proportional to 7,614.72, 11,376 and 7,571.52 is: 11,311.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.72 : 11,376 = 7,571.52 : x
  2. Step 2: Convert to fraction form
    7,614.72/11,376 = 7,571.52/x
  3. Step 3: Cross multiply
    7,614.72x = 11,376 × 7,571.52
  4. Step 4: Simplify right side
    7,614.72x = 86,133,611.52
  5. Step 5: Solve for x
    x = 86,133,611.52/7,614.72
  6. Step 6: Final answer
    x = 11,311.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.