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Finding the Fourth Proportional to 6,407.68, 9,611.81 and 1,965.02

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Solution

The fourth proportional to 6,407.68, 9,611.81 and 1,965.02 is: 2,947.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.68 : 9,611.81 = 1,965.02 : x
  2. Step 2: Convert to fraction form
    6,407.68/9,611.81 = 1,965.02/x
  3. Step 3: Cross multiply
    6,407.68x = 9,611.81 × 1,965.02
  4. Step 4: Simplify right side
    6,407.68x = 18,887,427.01
  5. Step 5: Solve for x
    x = 18,887,427.01/6,407.68
  6. Step 6: Final answer
    x = 2,947.62

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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.