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Finding the Fourth Proportional to 8,128.26, 11,217 and 4,402.26

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Solution

The fourth proportional to 8,128.26, 11,217 and 4,402.26 is: 6,075.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.26 : 11,217 = 4,402.26 : x
  2. Step 2: Convert to fraction form
    8,128.26/11,217 = 4,402.26/x
  3. Step 3: Cross multiply
    8,128.26x = 11,217 × 4,402.26
  4. Step 4: Simplify right side
    8,128.26x = 49,380,150.42
  5. Step 5: Solve for x
    x = 49,380,150.42/8,128.26
  6. Step 6: Final answer
    x = 6,075.12

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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.