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Finding the Fourth Proportional to 6,504.50, 8,976.22 and 4,737.60

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Solution

The fourth proportional to 6,504.50, 8,976.22 and 4,737.60 is: 6,537.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.50 : 8,976.22 = 4,737.60 : x
  2. Step 2: Convert to fraction form
    6,504.50/8,976.22 = 4,737.60/x
  3. Step 3: Cross multiply
    6,504.50x = 8,976.22 × 4,737.60
  4. Step 4: Simplify right side
    6,504.50x = 42,525,739.87
  5. Step 5: Solve for x
    x = 42,525,739.87/6,504.50
  6. Step 6: Final answer
    x = 6,537.90

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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.