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Finding the Fourth Proportional to 2,138.55, 3,207.83 and 905.64

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Solution

The fourth proportional to 2,138.55, 3,207.83 and 905.64 is: 1,358.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.55 : 3,207.83 = 905.64 : x
  2. Step 2: Convert to fraction form
    2,138.55/3,207.83 = 905.64/x
  3. Step 3: Cross multiply
    2,138.55x = 3,207.83 × 905.64
  4. Step 4: Simplify right side
    2,138.55x = 2,905,139.16
  5. Step 5: Solve for x
    x = 2,905,139.16/2,138.55
  6. Step 6: Final answer
    x = 1,358.46

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.