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Finding the Fourth Proportional to 6,438.06, 8,883 and 3,643.56

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Solution

The fourth proportional to 6,438.06, 8,883 and 3,643.56 is: 5,027.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.06 : 8,883 = 3,643.56 : x
  2. Step 2: Convert to fraction form
    6,438.06/8,883 = 3,643.56/x
  3. Step 3: Cross multiply
    6,438.06x = 8,883 × 3,643.56
  4. Step 4: Simplify right side
    6,438.06x = 32,365,743.48
  5. Step 5: Solve for x
    x = 32,365,743.48/6,438.06
  6. Step 6: Final answer
    x = 5,027.25

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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.