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Finding the Fourth Proportional to 2,094.87, 3,141.90 and 1,990.80

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Solution

The fourth proportional to 2,094.87, 3,141.90 and 1,990.80 is: 2,985.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.87 : 3,141.90 = 1,990.80 : x
  2. Step 2: Convert to fraction form
    2,094.87/3,141.90 = 1,990.80/x
  3. Step 3: Cross multiply
    2,094.87x = 3,141.90 × 1,990.80
  4. Step 4: Simplify right side
    2,094.87x = 6,254,894.52
  5. Step 5: Solve for x
    x = 6,254,894.52/2,094.87
  6. Step 6: Final answer
    x = 2,985.82

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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.