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Finding the Fourth Proportional to 7,085.69, 10,627.11 and 6,734.42

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Solution

The fourth proportional to 7,085.69, 10,627.11 and 6,734.42 is: 10,100.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.69 : 10,627.11 = 6,734.42 : x
  2. Step 2: Convert to fraction form
    7,085.69/10,627.11 = 6,734.42/x
  3. Step 3: Cross multiply
    7,085.69x = 10,627.11 × 6,734.42
  4. Step 4: Simplify right side
    7,085.69x = 71,567,408.84
  5. Step 5: Solve for x
    x = 71,567,408.84/7,085.69
  6. Step 6: Final answer
    x = 10,100.28

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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.