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Finding the Fourth Proportional to 2,181.94, 2,991.45 and 2,142.45

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Solution

The fourth proportional to 2,181.94, 2,991.45 and 2,142.45 is: 2,937.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.94 : 2,991.45 = 2,142.45 : x
  2. Step 2: Convert to fraction form
    2,181.94/2,991.45 = 2,142.45/x
  3. Step 3: Cross multiply
    2,181.94x = 2,991.45 × 2,142.45
  4. Step 4: Simplify right side
    2,181.94x = 6,409,035.24
  5. Step 5: Solve for x
    x = 6,409,035.24/2,181.94
  6. Step 6: Final answer
    x = 2,937.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.