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Finding the Fourth Proportional to 3,998.99, 5,999.40 and 1,534.97

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Solution

The fourth proportional to 3,998.99, 5,999.40 and 1,534.97 is: 2,302.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.99 : 5,999.40 = 1,534.97 : x
  2. Step 2: Convert to fraction form
    3,998.99/5,999.40 = 1,534.97/x
  3. Step 3: Cross multiply
    3,998.99x = 5,999.40 × 1,534.97
  4. Step 4: Simplify right side
    3,998.99x = 9,208,914.02
  5. Step 5: Solve for x
    x = 9,208,914.02/3,998.99
  6. Step 6: Final answer
    x = 2,302.81

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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.