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Finding the Fourth Proportional to 10,572.78, 15,855.08 and 3,175.50

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Solution

The fourth proportional to 10,572.78, 15,855.08 and 3,175.50 is: 4,762.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.78 : 15,855.08 = 3,175.50 : x
  2. Step 2: Convert to fraction form
    10,572.78/15,855.08 = 3,175.50/x
  3. Step 3: Cross multiply
    10,572.78x = 15,855.08 × 3,175.50
  4. Step 4: Simplify right side
    10,572.78x = 50,347,806.54
  5. Step 5: Solve for x
    x = 50,347,806.54/10,572.78
  6. Step 6: Final answer
    x = 4,762.02

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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.