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Finding the Fourth Proportional to 7,472.37, 10,311.63 and 4,447.48

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Solution

The fourth proportional to 7,472.37, 10,311.63 and 4,447.48 is: 6,137.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.37 : 10,311.63 = 4,447.48 : x
  2. Step 2: Convert to fraction form
    7,472.37/10,311.63 = 4,447.48/x
  3. Step 3: Cross multiply
    7,472.37x = 10,311.63 × 4,447.48
  4. Step 4: Simplify right side
    7,472.37x = 45,860,768.19
  5. Step 5: Solve for x
    x = 45,860,768.19/7,472.37
  6. Step 6: Final answer
    x = 6,137.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.