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Finding the Fourth Proportional to 6,303.56, 8,698.79 and 3,947

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Solution

The fourth proportional to 6,303.56, 8,698.79 and 3,947 is: 5,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.56 : 8,698.79 = 3,947 : x
  2. Step 2: Convert to fraction form
    6,303.56/8,698.79 = 3,947/x
  3. Step 3: Cross multiply
    6,303.56x = 8,698.79 × 3,947
  4. Step 4: Simplify right side
    6,303.56x = 34,334,124.13
  5. Step 5: Solve for x
    x = 34,334,124.13/6,303.56
  6. Step 6: Final answer
    x = 5,446.78

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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.