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Finding the Fourth Proportional to 7,889.32, 11,834.34 and 2,957.32

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Solution

The fourth proportional to 7,889.32, 11,834.34 and 2,957.32 is: 4,436.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.32 : 11,834.34 = 2,957.32 : x
  2. Step 2: Convert to fraction form
    7,889.32/11,834.34 = 2,957.32/x
  3. Step 3: Cross multiply
    7,889.32x = 11,834.34 × 2,957.32
  4. Step 4: Simplify right side
    7,889.32x = 34,997,930.37
  5. Step 5: Solve for x
    x = 34,997,930.37/7,889.32
  6. Step 6: Final answer
    x = 4,436.11

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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.