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Finding the Fourth Proportional to 6,814.99, 10,219.15 and 2,811.63

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Solution

The fourth proportional to 6,814.99, 10,219.15 and 2,811.63 is: 4,216.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.99 : 10,219.15 = 2,811.63 : x
  2. Step 2: Convert to fraction form
    6,814.99/10,219.15 = 2,811.63/x
  3. Step 3: Cross multiply
    6,814.99x = 10,219.15 × 2,811.63
  4. Step 4: Simplify right side
    6,814.99x = 28,732,445.16
  5. Step 5: Solve for x
    x = 28,732,445.16/6,814.99
  6. Step 6: Final answer
    x = 4,216.07

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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.