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Finding the Fourth Proportional to 6,998.94, 9,658.74 and 3,812.44

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Solution

The fourth proportional to 6,998.94, 9,658.74 and 3,812.44 is: 5,261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.94 : 9,658.74 = 3,812.44 : x
  2. Step 2: Convert to fraction form
    6,998.94/9,658.74 = 3,812.44/x
  3. Step 3: Cross multiply
    6,998.94x = 9,658.74 × 3,812.44
  4. Step 4: Simplify right side
    6,998.94x = 36,823,347.66
  5. Step 5: Solve for x
    x = 36,823,347.66/6,998.94
  6. Step 6: Final answer
    x = 5,261.28

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1.5x scale

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.