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Finding the Fourth Proportional to 6,986.75, 9,640.64 and 4,154.06

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Solution

The fourth proportional to 6,986.75, 9,640.64 and 4,154.06 is: 5,731.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.75 : 9,640.64 = 4,154.06 : x
  2. Step 2: Convert to fraction form
    6,986.75/9,640.64 = 4,154.06/x
  3. Step 3: Cross multiply
    6,986.75x = 9,640.64 × 4,154.06
  4. Step 4: Simplify right side
    6,986.75x = 40,047,728.02
  5. Step 5: Solve for x
    x = 40,047,728.02/6,986.75
  6. Step 6: Final answer
    x = 5,731.96

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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.