Home / 2,101.25-3,152.42-803.09

Finding the Fourth Proportional to 2,101.25, 3,152.42 and 803.09

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Solution

The fourth proportional to 2,101.25, 3,152.42 and 803.09 is: 1,204.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.25 : 3,152.42 = 803.09 : x
  2. Step 2: Convert to fraction form
    2,101.25/3,152.42 = 803.09/x
  3. Step 3: Cross multiply
    2,101.25x = 3,152.42 × 803.09
  4. Step 4: Simplify right side
    2,101.25x = 2,531,676.98
  5. Step 5: Solve for x
    x = 2,531,676.98/2,101.25
  6. Step 6: Final answer
    x = 1,204.84

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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.