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Finding the Fourth Proportional to 1,990.84, 2,980.10 and 1,820.74

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Solution

The fourth proportional to 1,990.84, 2,980.10 and 1,820.74 is: 2,725.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.84 : 2,980.10 = 1,820.74 : x
  2. Step 2: Convert to fraction form
    1,990.84/2,980.10 = 1,820.74/x
  3. Step 3: Cross multiply
    1,990.84x = 2,980.10 × 1,820.74
  4. Step 4: Simplify right side
    1,990.84x = 5,425,987.27
  5. Step 5: Solve for x
    x = 5,425,987.27/1,990.84
  6. Step 6: Final answer
    x = 2,725.48

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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.