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Finding the Fourth Proportional to 6,806.63, 10,211.15 and 3,109.24

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Solution

The fourth proportional to 6,806.63, 10,211.15 and 3,109.24 is: 4,664.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.63 : 10,211.15 = 3,109.24 : x
  2. Step 2: Convert to fraction form
    6,806.63/10,211.15 = 3,109.24/x
  3. Step 3: Cross multiply
    6,806.63x = 10,211.15 × 3,109.24
  4. Step 4: Simplify right side
    6,806.63x = 31,748,898.27
  5. Step 5: Solve for x
    x = 31,748,898.27/6,806.63
  6. Step 6: Final answer
    x = 4,664.41

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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.