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Finding the Fourth Proportional to 8,516.87, 12,774.21 and 2,277.24

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Solution

The fourth proportional to 8,516.87, 12,774.21 and 2,277.24 is: 3,415.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,516.87 : 12,774.21 = 2,277.24 : x
  2. Step 2: Convert to fraction form
    8,516.87/12,774.21 = 2,277.24/x
  3. Step 3: Cross multiply
    8,516.87x = 12,774.21 × 2,277.24
  4. Step 4: Simplify right side
    8,516.87x = 29,089,941.98
  5. Step 5: Solve for x
    x = 29,089,941.98/8,516.87
  6. Step 6: Final answer
    x = 3,415.57

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1.5x scale

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.