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Finding the Fourth Proportional to 7,114.68, 9,818.69 and 3,971.07

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Solution

The fourth proportional to 7,114.68, 9,818.69 and 3,971.07 is: 5,480.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.68 : 9,818.69 = 3,971.07 : x
  2. Step 2: Convert to fraction form
    7,114.68/9,818.69 = 3,971.07/x
  3. Step 3: Cross multiply
    7,114.68x = 9,818.69 × 3,971.07
  4. Step 4: Simplify right side
    7,114.68x = 38,990,685.44
  5. Step 5: Solve for x
    x = 38,990,685.44/7,114.68
  6. Step 6: Final answer
    x = 5,480.31

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