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Finding the Fourth Proportional to 2,104.70, 3,157.05 and 2,003.90

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Solution

The fourth proportional to 2,104.70, 3,157.05 and 2,003.90 is: 3,005.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.70 : 3,157.05 = 2,003.90 : x
  2. Step 2: Convert to fraction form
    2,104.70/3,157.05 = 2,003.90/x
  3. Step 3: Cross multiply
    2,104.70x = 3,157.05 × 2,003.90
  4. Step 4: Simplify right side
    2,104.70x = 6,326,412.50
  5. Step 5: Solve for x
    x = 6,326,412.50/2,104.70
  6. Step 6: Final answer
    x = 3,005.85

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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.