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Finding the Fourth Proportional to 6,506.45, 8,978.90 and 3,522.31

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Solution

The fourth proportional to 6,506.45, 8,978.90 and 3,522.31 is: 4,860.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.45 : 8,978.90 = 3,522.31 : x
  2. Step 2: Convert to fraction form
    6,506.45/8,978.90 = 3,522.31/x
  3. Step 3: Cross multiply
    6,506.45x = 8,978.90 × 3,522.31
  4. Step 4: Simplify right side
    6,506.45x = 31,626,424.36
  5. Step 5: Solve for x
    x = 31,626,424.36/6,506.45
  6. Step 6: Final answer
    x = 4,860.78

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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.