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Finding the Fourth Proportional to 5,896.76, 8,842.54 and 3,122.78

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Solution

The fourth proportional to 5,896.76, 8,842.54 and 3,122.78 is: 4,682.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.76 : 8,842.54 = 3,122.78 : x
  2. Step 2: Convert to fraction form
    5,896.76/8,842.54 = 3,122.78/x
  3. Step 3: Cross multiply
    5,896.76x = 8,842.54 × 3,122.78
  4. Step 4: Simplify right side
    5,896.76x = 27,613,333.07
  5. Step 5: Solve for x
    x = 27,613,333.07/5,896.76
  6. Step 6: Final answer
    x = 4,682.80

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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.