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Finding the Fourth Proportional to 9,222.78, 13,830.50 and 4,025

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Solution

The fourth proportional to 9,222.78, 13,830.50 and 4,025 is: 6,035.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.78 : 13,830.50 = 4,025 : x
  2. Step 2: Convert to fraction form
    9,222.78/13,830.50 = 4,025/x
  3. Step 3: Cross multiply
    9,222.78x = 13,830.50 × 4,025
  4. Step 4: Simplify right side
    9,222.78x = 55,667,762.50
  5. Step 5: Solve for x
    x = 55,667,762.50/9,222.78
  6. Step 6: Final answer
    x = 6,035.90

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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.