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Finding the Fourth Proportional to 6,987.10, 9,641.09 and 4,002.36

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Solution

The fourth proportional to 6,987.10, 9,641.09 and 4,002.36 is: 5,522.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.10 : 9,641.09 = 4,002.36 : x
  2. Step 2: Convert to fraction form
    6,987.10/9,641.09 = 4,002.36/x
  3. Step 3: Cross multiply
    6,987.10x = 9,641.09 × 4,002.36
  4. Step 4: Simplify right side
    6,987.10x = 38,587,112.97
  5. Step 5: Solve for x
    x = 38,587,112.97/6,987.10
  6. Step 6: Final answer
    x = 5,522.62

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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.