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Finding the Fourth Proportional to 6,503.80, 8,976.62 and 4,112.24

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Solution

The fourth proportional to 6,503.80, 8,976.62 and 4,112.24 is: 5,675.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.80 : 8,976.62 = 4,112.24 : x
  2. Step 2: Convert to fraction form
    6,503.80/8,976.62 = 4,112.24/x
  3. Step 3: Cross multiply
    6,503.80x = 8,976.62 × 4,112.24
  4. Step 4: Simplify right side
    6,503.80x = 36,914,015.83
  5. Step 5: Solve for x
    x = 36,914,015.83/6,503.80
  6. Step 6: Final answer
    x = 5,675.76

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1.5x scale

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.