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Finding the Fourth Proportional to 6,813, 10,220.94 and 2,709

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Solution

The fourth proportional to 6,813, 10,220.94 and 2,709 is: 4,064.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813 : 10,220.94 = 2,709 : x
  2. Step 2: Convert to fraction form
    6,813/10,220.94 = 2,709/x
  3. Step 3: Cross multiply
    6,813x = 10,220.94 × 2,709
  4. Step 4: Simplify right side
    6,813x = 27,688,526.46
  5. Step 5: Solve for x
    x = 27,688,526.46/6,813
  6. Step 6: Final answer
    x = 4,064.07

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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.