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Finding the Fourth Proportional to 6,811.50, 10,157.64 and 6,749.22

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Solution

The fourth proportional to 6,811.50, 10,157.64 and 6,749.22 is: 10,064.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.50 : 10,157.64 = 6,749.22 : x
  2. Step 2: Convert to fraction form
    6,811.50/10,157.64 = 6,749.22/x
  3. Step 3: Cross multiply
    6,811.50x = 10,157.64 × 6,749.22
  4. Step 4: Simplify right side
    6,811.50x = 68,556,172.35
  5. Step 5: Solve for x
    x = 68,556,172.35/6,811.50
  6. Step 6: Final answer
    x = 10,064.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.