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Finding the Fourth Proportional to 2,232.98, 3,347.90 and 982.98

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Solution

The fourth proportional to 2,232.98, 3,347.90 and 982.98 is: 1,473.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.98 : 3,347.90 = 982.98 : x
  2. Step 2: Convert to fraction form
    2,232.98/3,347.90 = 982.98/x
  3. Step 3: Cross multiply
    2,232.98x = 3,347.90 × 982.98
  4. Step 4: Simplify right side
    2,232.98x = 3,290,917.51
  5. Step 5: Solve for x
    x = 3,290,917.51/2,232.98
  6. Step 6: Final answer
    x = 1,473.78

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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.