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Finding the Fourth Proportional to 6,954, 9,596.93 and 3,970.77

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Solution

The fourth proportional to 6,954, 9,596.93 and 3,970.77 is: 5,479.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954 : 9,596.93 = 3,970.77 : x
  2. Step 2: Convert to fraction form
    6,954/9,596.93 = 3,970.77/x
  3. Step 3: Cross multiply
    6,954x = 9,596.93 × 3,970.77
  4. Step 4: Simplify right side
    6,954x = 38,107,181.88
  5. Step 5: Solve for x
    x = 38,107,181.88/6,954
  6. Step 6: Final answer
    x = 5,479.89

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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.