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Finding the Fourth Proportional to 1,609.96, 2,221.12 and 989.32

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Solution

The fourth proportional to 1,609.96, 2,221.12 and 989.32 is: 1,364.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.96 : 2,221.12 = 989.32 : x
  2. Step 2: Convert to fraction form
    1,609.96/2,221.12 = 989.32/x
  3. Step 3: Cross multiply
    1,609.96x = 2,221.12 × 989.32
  4. Step 4: Simplify right side
    1,609.96x = 2,197,398.44
  5. Step 5: Solve for x
    x = 2,197,398.44/1,609.96
  6. Step 6: Final answer
    x = 1,364.88

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Half scale
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Double scale
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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.