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Finding the Fourth Proportional to 9,147, 13,719.90 and 4,766.94

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Solution

The fourth proportional to 9,147, 13,719.90 and 4,766.94 is: 7,150.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147 : 13,719.90 = 4,766.94 : x
  2. Step 2: Convert to fraction form
    9,147/13,719.90 = 4,766.94/x
  3. Step 3: Cross multiply
    9,147x = 13,719.90 × 4,766.94
  4. Step 4: Simplify right side
    9,147x = 65,401,940.11
  5. Step 5: Solve for x
    x = 65,401,940.11/9,147
  6. Step 6: Final answer
    x = 7,150.10

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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.