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Finding the Fourth Proportional to 7,818.12, 11,727.18 and 3,930.12

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Solution

The fourth proportional to 7,818.12, 11,727.18 and 3,930.12 is: 5,895.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,818.12 : 11,727.18 = 3,930.12 : x
  2. Step 2: Convert to fraction form
    7,818.12/11,727.18 = 3,930.12/x
  3. Step 3: Cross multiply
    7,818.12x = 11,727.18 × 3,930.12
  4. Step 4: Simplify right side
    7,818.12x = 46,089,224.66
  5. Step 5: Solve for x
    x = 46,089,224.66/7,818.12
  6. Step 6: Final answer
    x = 5,895.18

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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.