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Finding the Fourth Proportional to 10,592.78, 15,889.28 and 3,197.30

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Solution

The fourth proportional to 10,592.78, 15,889.28 and 3,197.30 is: 4,795.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.78 : 15,889.28 = 3,197.30 : x
  2. Step 2: Convert to fraction form
    10,592.78/15,889.28 = 3,197.30/x
  3. Step 3: Cross multiply
    10,592.78x = 15,889.28 × 3,197.30
  4. Step 4: Simplify right side
    10,592.78x = 50,802,794.94
  5. Step 5: Solve for x
    x = 50,802,794.94/10,592.78
  6. Step 6: Final answer
    x = 4,795.98

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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.