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Finding the Fourth Proportional to 11,878.40, 17,829.22 and 5,642.60

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Solution

The fourth proportional to 11,878.40, 17,829.22 and 5,642.60 is: 8,469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.40 : 17,829.22 = 5,642.60 : x
  2. Step 2: Convert to fraction form
    11,878.40/17,829.22 = 5,642.60/x
  3. Step 3: Cross multiply
    11,878.40x = 17,829.22 × 5,642.60
  4. Step 4: Simplify right side
    11,878.40x = 100,603,156.77
  5. Step 5: Solve for x
    x = 100,603,156.77/11,878.40
  6. Step 6: Final answer
    x = 8,469.42

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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.