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Finding the Fourth Proportional to 6,396.94, 8,827.74 and 3,564.28

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Solution

The fourth proportional to 6,396.94, 8,827.74 and 3,564.28 is: 4,918.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.94 : 8,827.74 = 3,564.28 : x
  2. Step 2: Convert to fraction form
    6,396.94/8,827.74 = 3,564.28/x
  3. Step 3: Cross multiply
    6,396.94x = 8,827.74 × 3,564.28
  4. Step 4: Simplify right side
    6,396.94x = 31,464,537.13
  5. Step 5: Solve for x
    x = 31,464,537.13/6,396.94
  6. Step 6: Final answer
    x = 4,918.69

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Why These Related Problems?

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