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Finding the Fourth Proportional to 6,990, 9,646.50 and 3,846.12

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Solution

The fourth proportional to 6,990, 9,646.50 and 3,846.12 is: 5,307.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990 : 9,646.50 = 3,846.12 : x
  2. Step 2: Convert to fraction form
    6,990/9,646.50 = 3,846.12/x
  3. Step 3: Cross multiply
    6,990x = 9,646.50 × 3,846.12
  4. Step 4: Simplify right side
    6,990x = 37,101,596.58
  5. Step 5: Solve for x
    x = 37,101,596.58/6,990
  6. Step 6: Final answer
    x = 5,307.81

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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.