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Finding the Fourth Proportional to 7,889.96, 11,840.80 and 3,731.24

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Solution

The fourth proportional to 7,889.96, 11,840.80 and 3,731.24 is: 5,599.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.96 : 11,840.80 = 3,731.24 : x
  2. Step 2: Convert to fraction form
    7,889.96/11,840.80 = 3,731.24/x
  3. Step 3: Cross multiply
    7,889.96x = 11,840.80 × 3,731.24
  4. Step 4: Simplify right side
    7,889.96x = 44,180,866.59
  5. Step 5: Solve for x
    x = 44,180,866.59/7,889.96
  6. Step 6: Final answer
    x = 5,599.63

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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.