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Finding the Fourth Proportional to 2,105.98, 2,905.80 and 1,221.67

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Solution

The fourth proportional to 2,105.98, 2,905.80 and 1,221.67 is: 1,685.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.98 : 2,905.80 = 1,221.67 : x
  2. Step 2: Convert to fraction form
    2,105.98/2,905.80 = 1,221.67/x
  3. Step 3: Cross multiply
    2,105.98x = 2,905.80 × 1,221.67
  4. Step 4: Simplify right side
    2,105.98x = 3,549,914.16
  5. Step 5: Solve for x
    x = 3,549,914.16/2,105.98
  6. Step 6: Final answer
    x = 1,685.64

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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.