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Finding the Fourth Proportional to 6,986.30, 9,641.09 and 4,002.19

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Solution

The fourth proportional to 6,986.30, 9,641.09 and 4,002.19 is: 5,523.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.30 : 9,641.09 = 4,002.19 : x
  2. Step 2: Convert to fraction form
    6,986.30/9,641.09 = 4,002.19/x
  3. Step 3: Cross multiply
    6,986.30x = 9,641.09 × 4,002.19
  4. Step 4: Simplify right side
    6,986.30x = 38,585,459.89
  5. Step 5: Solve for x
    x = 38,585,459.89/6,986.30
  6. Step 6: Final answer
    x = 5,523.02

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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.