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Finding the Fourth Proportional to 4,884.95, 7,322.91 and 1,764.21

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Solution

The fourth proportional to 4,884.95, 7,322.91 and 1,764.21 is: 2,644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.95 : 7,322.91 = 1,764.21 : x
  2. Step 2: Convert to fraction form
    4,884.95/7,322.91 = 1,764.21/x
  3. Step 3: Cross multiply
    4,884.95x = 7,322.91 × 1,764.21
  4. Step 4: Simplify right side
    4,884.95x = 12,919,151.05
  5. Step 5: Solve for x
    x = 12,919,151.05/4,884.95
  6. Step 6: Final answer
    x = 2,644.69

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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.