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Finding the Fourth Proportional to 7,861.81, 10,853.77 and 5,212.80

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Solution

The fourth proportional to 7,861.81, 10,853.77 and 5,212.80 is: 7,196.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.81 : 10,853.77 = 5,212.80 : x
  2. Step 2: Convert to fraction form
    7,861.81/10,853.77 = 5,212.80/x
  3. Step 3: Cross multiply
    7,861.81x = 10,853.77 × 5,212.80
  4. Step 4: Simplify right side
    7,861.81x = 56,578,477.99
  5. Step 5: Solve for x
    x = 56,578,477.99/7,861.81
  6. Step 6: Final answer
    x = 7,196.63

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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.