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Finding the Fourth Proportional to 7,002.49, 9,664.13 and 5,231.02

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Solution

The fourth proportional to 7,002.49, 9,664.13 and 5,231.02 is: 7,219.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.49 : 9,664.13 = 5,231.02 : x
  2. Step 2: Convert to fraction form
    7,002.49/9,664.13 = 5,231.02/x
  3. Step 3: Cross multiply
    7,002.49x = 9,664.13 × 5,231.02
  4. Step 4: Simplify right side
    7,002.49x = 50,553,257.31
  5. Step 5: Solve for x
    x = 50,553,257.31/7,002.49
  6. Step 6: Final answer
    x = 7,219.33

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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.