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Finding the Fourth Proportional to 7,861.30, 11,781.53 and 5,771.53

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Solution

The fourth proportional to 7,861.30, 11,781.53 and 5,771.53 is: 8,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.30 : 11,781.53 = 5,771.53 : x
  2. Step 2: Convert to fraction form
    7,861.30/11,781.53 = 5,771.53/x
  3. Step 3: Cross multiply
    7,861.30x = 11,781.53 × 5,771.53
  4. Step 4: Simplify right side
    7,861.30x = 67,997,438.82
  5. Step 5: Solve for x
    x = 67,997,438.82/7,861.30
  6. Step 6: Final answer
    x = 8,649.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.