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Finding the Fourth Proportional to 2,209.81, 3,313.05 and 1,905.25

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Solution

The fourth proportional to 2,209.81, 3,313.05 and 1,905.25 is: 2,856.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.81 : 3,313.05 = 1,905.25 : x
  2. Step 2: Convert to fraction form
    2,209.81/3,313.05 = 1,905.25/x
  3. Step 3: Cross multiply
    2,209.81x = 3,313.05 × 1,905.25
  4. Step 4: Simplify right side
    2,209.81x = 6,312,188.51
  5. Step 5: Solve for x
    x = 6,312,188.51/2,209.81
  6. Step 6: Final answer
    x = 2,856.44

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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.