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Finding the Fourth Proportional to 4,651.66, 6,978.11 and 1,729.59

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Solution

The fourth proportional to 4,651.66, 6,978.11 and 1,729.59 is: 2,594.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.66 : 6,978.11 = 1,729.59 : x
  2. Step 2: Convert to fraction form
    4,651.66/6,978.11 = 1,729.59/x
  3. Step 3: Cross multiply
    4,651.66x = 6,978.11 × 1,729.59
  4. Step 4: Simplify right side
    4,651.66x = 12,069,269.27
  5. Step 5: Solve for x
    x = 12,069,269.27/4,651.66
  6. Step 6: Final answer
    x = 2,594.62

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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.