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Finding the Fourth Proportional to 7,806.96, 10,740.86 and 6,814.52

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Solution

The fourth proportional to 7,806.96, 10,740.86 and 6,814.52 is: 9,375.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.96 : 10,740.86 = 6,814.52 : x
  2. Step 2: Convert to fraction form
    7,806.96/10,740.86 = 6,814.52/x
  3. Step 3: Cross multiply
    7,806.96x = 10,740.86 × 6,814.52
  4. Step 4: Simplify right side
    7,806.96x = 73,193,805.29
  5. Step 5: Solve for x
    x = 73,193,805.29/7,806.96
  6. Step 6: Final answer
    x = 9,375.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.