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Finding the Fourth Proportional to 6,407.56, 9,611.34 and 3,485.08

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Solution

The fourth proportional to 6,407.56, 9,611.34 and 3,485.08 is: 5,227.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.56 : 9,611.34 = 3,485.08 : x
  2. Step 2: Convert to fraction form
    6,407.56/9,611.34 = 3,485.08/x
  3. Step 3: Cross multiply
    6,407.56x = 9,611.34 × 3,485.08
  4. Step 4: Simplify right side
    6,407.56x = 33,496,288.81
  5. Step 5: Solve for x
    x = 33,496,288.81/6,407.56
  6. Step 6: Final answer
    x = 5,227.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.