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Finding the Fourth Proportional to 6,821.04, 9,406.62 and 6,311.96

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Solution

The fourth proportional to 6,821.04, 9,406.62 and 6,311.96 is: 8,704.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.04 : 9,406.62 = 6,311.96 : x
  2. Step 2: Convert to fraction form
    6,821.04/9,406.62 = 6,311.96/x
  3. Step 3: Cross multiply
    6,821.04x = 9,406.62 × 6,311.96
  4. Step 4: Simplify right side
    6,821.04x = 59,374,209.18
  5. Step 5: Solve for x
    x = 59,374,209.18/6,821.04
  6. Step 6: Final answer
    x = 8,704.57

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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.