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Finding the Fourth Proportional to 1,619.12, 2,233.94 and 989.70

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Solution

The fourth proportional to 1,619.12, 2,233.94 and 989.70 is: 1,365.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.12 : 2,233.94 = 989.70 : x
  2. Step 2: Convert to fraction form
    1,619.12/2,233.94 = 989.70/x
  3. Step 3: Cross multiply
    1,619.12x = 2,233.94 × 989.70
  4. Step 4: Simplify right side
    1,619.12x = 2,210,930.42
  5. Step 5: Solve for x
    x = 2,210,930.42/1,619.12
  6. Step 6: Final answer
    x = 1,365.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.