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Finding the Fourth Proportional to 1,999.35, 3,005.51 and 1,989.63

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Solution

The fourth proportional to 1,999.35, 3,005.51 and 1,989.63 is: 2,990.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.35 : 3,005.51 = 1,989.63 : x
  2. Step 2: Convert to fraction form
    1,999.35/3,005.51 = 1,989.63/x
  3. Step 3: Cross multiply
    1,999.35x = 3,005.51 × 1,989.63
  4. Step 4: Simplify right side
    1,999.35x = 5,979,842.91
  5. Step 5: Solve for x
    x = 5,979,842.91/1,999.35
  6. Step 6: Final answer
    x = 2,990.89

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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.