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Finding the Fourth Proportional to 1,999.03, 2,998.79 and 972.79

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Solution

The fourth proportional to 1,999.03, 2,998.79 and 972.79 is: 1,459.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.03 : 2,998.79 = 972.79 : x
  2. Step 2: Convert to fraction form
    1,999.03/2,998.79 = 972.79/x
  3. Step 3: Cross multiply
    1,999.03x = 2,998.79 × 972.79
  4. Step 4: Simplify right side
    1,999.03x = 2,917,192.92
  5. Step 5: Solve for x
    x = 2,917,192.92/1,999.03
  6. Step 6: Final answer
    x = 1,459.30

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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.