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Finding the Fourth Proportional to 6,711, 10,068.64 and 2,814.36

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Solution

The fourth proportional to 6,711, 10,068.64 and 2,814.36 is: 4,222.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711 : 10,068.64 = 2,814.36 : x
  2. Step 2: Convert to fraction form
    6,711/10,068.64 = 2,814.36/x
  3. Step 3: Cross multiply
    6,711x = 10,068.64 × 2,814.36
  4. Step 4: Simplify right side
    6,711x = 28,336,777.67
  5. Step 5: Solve for x
    x = 28,336,777.67/6,711
  6. Step 6: Final answer
    x = 4,222.44

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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.