Home / 2,097.90-3,143.65-1,982.70

Finding the Fourth Proportional to 2,097.90, 3,143.65 and 1,982.70

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Solution

The fourth proportional to 2,097.90, 3,143.65 and 1,982.70 is: 2,971.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.90 : 3,143.65 = 1,982.70 : x
  2. Step 2: Convert to fraction form
    2,097.90/3,143.65 = 1,982.70/x
  3. Step 3: Cross multiply
    2,097.90x = 3,143.65 × 1,982.70
  4. Step 4: Simplify right side
    2,097.90x = 6,232,914.86
  5. Step 5: Solve for x
    x = 6,232,914.86/2,097.90
  6. Step 6: Final answer
    x = 2,971.03

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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.