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Finding the Fourth Proportional to 7,238.16, 10,824.03 and 5,390.55

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Solution

The fourth proportional to 7,238.16, 10,824.03 and 5,390.55 is: 8,061.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.16 : 10,824.03 = 5,390.55 : x
  2. Step 2: Convert to fraction form
    7,238.16/10,824.03 = 5,390.55/x
  3. Step 3: Cross multiply
    7,238.16x = 10,824.03 × 5,390.55
  4. Step 4: Simplify right side
    7,238.16x = 58,347,474.92
  5. Step 5: Solve for x
    x = 58,347,474.92/7,238.16
  6. Step 6: Final answer
    x = 8,061.09

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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.