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Finding the Fourth Proportional to 2,809.68, 3,877.74 and 2,109.84

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Solution

The fourth proportional to 2,809.68, 3,877.74 and 2,109.84 is: 2,911.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.68 : 3,877.74 = 2,109.84 : x
  2. Step 2: Convert to fraction form
    2,809.68/3,877.74 = 2,109.84/x
  3. Step 3: Cross multiply
    2,809.68x = 3,877.74 × 2,109.84
  4. Step 4: Simplify right side
    2,809.68x = 8,181,410.96
  5. Step 5: Solve for x
    x = 8,181,410.96/2,809.68
  6. Step 6: Final answer
    x = 2,911.87

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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.