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Finding the Fourth Proportional to 7,311.78, 10,966.73 and 2,929.28

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Solution

The fourth proportional to 7,311.78, 10,966.73 and 2,929.28 is: 4,393.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.78 : 10,966.73 = 2,929.28 : x
  2. Step 2: Convert to fraction form
    7,311.78/10,966.73 = 2,929.28/x
  3. Step 3: Cross multiply
    7,311.78x = 10,966.73 × 2,929.28
  4. Step 4: Simplify right side
    7,311.78x = 32,124,553.37
  5. Step 5: Solve for x
    x = 32,124,553.37/7,311.78
  6. Step 6: Final answer
    x = 4,393.53

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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.