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Finding the Fourth Proportional to 6,436, 8,881.28 and 3,564.56

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Solution

The fourth proportional to 6,436, 8,881.28 and 3,564.56 is: 4,918.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436 : 8,881.28 = 3,564.56 : x
  2. Step 2: Convert to fraction form
    6,436/8,881.28 = 3,564.56/x
  3. Step 3: Cross multiply
    6,436x = 8,881.28 × 3,564.56
  4. Step 4: Simplify right side
    6,436x = 31,657,855.44
  5. Step 5: Solve for x
    x = 31,657,855.44/6,436
  6. Step 6: Final answer
    x = 4,918.87

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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.