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Finding the Fourth Proportional to 2,645.94, 3,968.91 and 914.70

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Solution

The fourth proportional to 2,645.94, 3,968.91 and 914.70 is: 1,372.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.94 : 3,968.91 = 914.70 : x
  2. Step 2: Convert to fraction form
    2,645.94/3,968.91 = 914.70/x
  3. Step 3: Cross multiply
    2,645.94x = 3,968.91 × 914.70
  4. Step 4: Simplify right side
    2,645.94x = 3,630,361.98
  5. Step 5: Solve for x
    x = 3,630,361.98/2,645.94
  6. Step 6: Final answer
    x = 1,372.05

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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.