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Finding the Fourth Proportional to 6,403.93, 9,607.30 and 1,961.63

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Solution

The fourth proportional to 6,403.93, 9,607.30 and 1,961.63 is: 2,942.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.93 : 9,607.30 = 1,961.63 : x
  2. Step 2: Convert to fraction form
    6,403.93/9,607.30 = 1,961.63/x
  3. Step 3: Cross multiply
    6,403.93x = 9,607.30 × 1,961.63
  4. Step 4: Simplify right side
    6,403.93x = 18,845,950.99
  5. Step 5: Solve for x
    x = 18,845,950.99/6,403.93
  6. Step 6: Final answer
    x = 2,942.87

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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.