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Finding the Fourth Proportional to 20,516, 30,774.20 and 5,726

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Solution

The fourth proportional to 20,516, 30,774.20 and 5,726 is: 8,589.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,516 : 30,774.20 = 5,726 : x
  2. Step 2: Convert to fraction form
    20,516/30,774.20 = 5,726/x
  3. Step 3: Cross multiply
    20,516x = 30,774.20 × 5,726
  4. Step 4: Simplify right side
    20,516x = 176,213,069.20
  5. Step 5: Solve for x
    x = 176,213,069.20/20,516
  6. Step 6: Final answer
    x = 8,589.06

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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.