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Finding the Fourth Proportional to 2,795.42, 4,192.89 and 946.49

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Solution

The fourth proportional to 2,795.42, 4,192.89 and 946.49 is: 1,419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.42 : 4,192.89 = 946.49 : x
  2. Step 2: Convert to fraction form
    2,795.42/4,192.89 = 946.49/x
  3. Step 3: Cross multiply
    2,795.42x = 4,192.89 × 946.49
  4. Step 4: Simplify right side
    2,795.42x = 3,968,534.21
  5. Step 5: Solve for x
    x = 3,968,534.21/2,795.42
  6. Step 6: Final answer
    x = 1,419.66

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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.