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Finding the Fourth Proportional to 6,151.52, 9,219.49 and 3,929.50

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Solution

The fourth proportional to 6,151.52, 9,219.49 and 3,929.50 is: 5,889.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.52 : 9,219.49 = 3,929.50 : x
  2. Step 2: Convert to fraction form
    6,151.52/9,219.49 = 3,929.50/x
  3. Step 3: Cross multiply
    6,151.52x = 9,219.49 × 3,929.50
  4. Step 4: Simplify right side
    6,151.52x = 36,227,985.96
  5. Step 5: Solve for x
    x = 36,227,985.96/6,151.52
  6. Step 6: Final answer
    x = 5,889.27

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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.