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Finding the Fourth Proportional to 4,930.86, 7,396.68 and 1,643.96

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Solution

The fourth proportional to 4,930.86, 7,396.68 and 1,643.96 is: 2,466.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.86 : 7,396.68 = 1,643.96 : x
  2. Step 2: Convert to fraction form
    4,930.86/7,396.68 = 1,643.96/x
  3. Step 3: Cross multiply
    4,930.86x = 7,396.68 × 1,643.96
  4. Step 4: Simplify right side
    4,930.86x = 12,159,800.85
  5. Step 5: Solve for x
    x = 12,159,800.85/4,930.86
  6. Step 6: Final answer
    x = 2,466.06

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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.