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Finding the Fourth Proportional to 8,515.87, 12,773.90 and 4,012.63

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Solution

The fourth proportional to 8,515.87, 12,773.90 and 4,012.63 is: 6,018.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,515.87 : 12,773.90 = 4,012.63 : x
  2. Step 2: Convert to fraction form
    8,515.87/12,773.90 = 4,012.63/x
  3. Step 3: Cross multiply
    8,515.87x = 12,773.90 × 4,012.63
  4. Step 4: Simplify right side
    8,515.87x = 51,256,914.29
  5. Step 5: Solve for x
    x = 51,256,914.29/8,515.87
  6. Step 6: Final answer
    x = 6,018.99

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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.