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Finding the Fourth Proportional to 2,795.85, 4,190.96 and 946.47

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Solution

The fourth proportional to 2,795.85, 4,190.96 and 946.47 is: 1,418.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.85 : 4,190.96 = 946.47 : x
  2. Step 2: Convert to fraction form
    2,795.85/4,190.96 = 946.47/x
  3. Step 3: Cross multiply
    2,795.85x = 4,190.96 × 946.47
  4. Step 4: Simplify right side
    2,795.85x = 3,966,613.18
  5. Step 5: Solve for x
    x = 3,966,613.18/2,795.85
  6. Step 6: Final answer
    x = 1,418.75

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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.