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Finding the Fourth Proportional to 8,027.60, 12,037.80 and 3,642.80

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Solution

The fourth proportional to 8,027.60, 12,037.80 and 3,642.80 is: 5,462.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027.60 : 12,037.80 = 3,642.80 : x
  2. Step 2: Convert to fraction form
    8,027.60/12,037.80 = 3,642.80/x
  3. Step 3: Cross multiply
    8,027.60x = 12,037.80 × 3,642.80
  4. Step 4: Simplify right side
    8,027.60x = 43,851,297.84
  5. Step 5: Solve for x
    x = 43,851,297.84/8,027.60
  6. Step 6: Final answer
    x = 5,462.57

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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.