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Finding the Fourth Proportional to 4,610.91, 6,914.78 and 1,490.12

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Solution

The fourth proportional to 4,610.91, 6,914.78 and 1,490.12 is: 2,234.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.91 : 6,914.78 = 1,490.12 : x
  2. Step 2: Convert to fraction form
    4,610.91/6,914.78 = 1,490.12/x
  3. Step 3: Cross multiply
    4,610.91x = 6,914.78 × 1,490.12
  4. Step 4: Simplify right side
    4,610.91x = 10,303,851.97
  5. Step 5: Solve for x
    x = 10,303,851.97/4,610.91
  6. Step 6: Final answer
    x = 2,234.67

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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.