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Finding the Fourth Proportional to 6,999.94, 9,660.12 and 3,813.44

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Solution

The fourth proportional to 6,999.94, 9,660.12 and 3,813.44 is: 5,262.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.94 : 9,660.12 = 3,813.44 : x
  2. Step 2: Convert to fraction form
    6,999.94/9,660.12 = 3,813.44/x
  3. Step 3: Cross multiply
    6,999.94x = 9,660.12 × 3,813.44
  4. Step 4: Simplify right side
    6,999.94x = 36,838,288.01
  5. Step 5: Solve for x
    x = 36,838,288.01/6,999.94
  6. Step 6: Final answer
    x = 5,262.66

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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.