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Finding the Fourth Proportional to 7,105.68, 10,657.80 and 1,911.60

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Solution

The fourth proportional to 7,105.68, 10,657.80 and 1,911.60 is: 2,867.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.68 : 10,657.80 = 1,911.60 : x
  2. Step 2: Convert to fraction form
    7,105.68/10,657.80 = 1,911.60/x
  3. Step 3: Cross multiply
    7,105.68x = 10,657.80 × 1,911.60
  4. Step 4: Simplify right side
    7,105.68x = 20,373,450.48
  5. Step 5: Solve for x
    x = 20,373,450.48/7,105.68
  6. Step 6: Final answer
    x = 2,867.21

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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.