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Finding the Fourth Proportional to 1,992.90, 2,989.35 and 1,847.10

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Solution

The fourth proportional to 1,992.90, 2,989.35 and 1,847.10 is: 2,770.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.90 : 2,989.35 = 1,847.10 : x
  2. Step 2: Convert to fraction form
    1,992.90/2,989.35 = 1,847.10/x
  3. Step 3: Cross multiply
    1,992.90x = 2,989.35 × 1,847.10
  4. Step 4: Simplify right side
    1,992.90x = 5,521,628.39
  5. Step 5: Solve for x
    x = 5,521,628.39/1,992.90
  6. Step 6: Final answer
    x = 2,770.65

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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.