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Finding the Fourth Proportional to 7,861.75, 10,850.77 and 4,506.82

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Solution

The fourth proportional to 7,861.75, 10,850.77 and 4,506.82 is: 6,220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.75 : 10,850.77 = 4,506.82 : x
  2. Step 2: Convert to fraction form
    7,861.75/10,850.77 = 4,506.82/x
  3. Step 3: Cross multiply
    7,861.75x = 10,850.77 × 4,506.82
  4. Step 4: Simplify right side
    7,861.75x = 48,902,428.86
  5. Step 5: Solve for x
    x = 48,902,428.86/7,861.75
  6. Step 6: Final answer
    x = 6,220.30

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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.