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Finding the Fourth Proportional to 1,817.64, 2,508.36 and 989.64

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Solution

The fourth proportional to 1,817.64, 2,508.36 and 989.64 is: 1,365.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.64 : 2,508.36 = 989.64 : x
  2. Step 2: Convert to fraction form
    1,817.64/2,508.36 = 989.64/x
  3. Step 3: Cross multiply
    1,817.64x = 2,508.36 × 989.64
  4. Step 4: Simplify right side
    1,817.64x = 2,482,373.39
  5. Step 5: Solve for x
    x = 2,482,373.39/1,817.64
  6. Step 6: Final answer
    x = 1,365.71

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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.