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Finding the Fourth Proportional to 8,483.72, 11,701.62 and 8,198.28

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Solution

The fourth proportional to 8,483.72, 11,701.62 and 8,198.28 is: 11,307.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,483.72 : 11,701.62 = 8,198.28 : x
  2. Step 2: Convert to fraction form
    8,483.72/11,701.62 = 8,198.28/x
  3. Step 3: Cross multiply
    8,483.72x = 11,701.62 × 8,198.28
  4. Step 4: Simplify right side
    8,483.72x = 95,933,157.21
  5. Step 5: Solve for x
    x = 95,933,157.21/8,483.72
  6. Step 6: Final answer
    x = 11,307.91

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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.