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Finding the Fourth Proportional to 7,941, 11,911.50 and 5,439.72

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Solution

The fourth proportional to 7,941, 11,911.50 and 5,439.72 is: 8,159.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,941 : 11,911.50 = 5,439.72 : x
  2. Step 2: Convert to fraction form
    7,941/11,911.50 = 5,439.72/x
  3. Step 3: Cross multiply
    7,941x = 11,911.50 × 5,439.72
  4. Step 4: Simplify right side
    7,941x = 64,795,224.78
  5. Step 5: Solve for x
    x = 64,795,224.78/7,941
  6. Step 6: Final answer
    x = 8,159.58

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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.