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Finding the Fourth Proportional to 7,861.09, 10,847.09 and 4,674.31

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Solution

The fourth proportional to 7,861.09, 10,847.09 and 4,674.31 is: 6,449.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.09 : 10,847.09 = 4,674.31 : x
  2. Step 2: Convert to fraction form
    7,861.09/10,847.09 = 4,674.31/x
  3. Step 3: Cross multiply
    7,861.09x = 10,847.09 × 4,674.31
  4. Step 4: Simplify right side
    7,861.09x = 50,702,661.26
  5. Step 5: Solve for x
    x = 50,702,661.26/7,861.09
  6. Step 6: Final answer
    x = 6,449.83

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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.