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Finding the Fourth Proportional to 6,506.20, 8,978.54 and 3,522.03

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Solution

The fourth proportional to 6,506.20, 8,978.54 and 3,522.03 is: 4,860.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.20 : 8,978.54 = 3,522.03 : x
  2. Step 2: Convert to fraction form
    6,506.20/8,978.54 = 3,522.03/x
  3. Step 3: Cross multiply
    6,506.20x = 8,978.54 × 3,522.03
  4. Step 4: Simplify right side
    6,506.20x = 31,622,687.24
  5. Step 5: Solve for x
    x = 31,622,687.24/6,506.20
  6. Step 6: Final answer
    x = 4,860.39

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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.