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Finding the Fourth Proportional to 2,090.80, 3,117.29 and 1,982.80

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Solution

The fourth proportional to 2,090.80, 3,117.29 and 1,982.80 is: 2,956.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.80 : 3,117.29 = 1,982.80 : x
  2. Step 2: Convert to fraction form
    2,090.80/3,117.29 = 1,982.80/x
  3. Step 3: Cross multiply
    2,090.80x = 3,117.29 × 1,982.80
  4. Step 4: Simplify right side
    2,090.80x = 6,180,962.61
  5. Step 5: Solve for x
    x = 6,180,962.61/2,090.80
  6. Step 6: Final answer
    x = 2,956.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.