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Finding the Fourth Proportional to 2,646.85, 3,968.99 and 797.62

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Solution

The fourth proportional to 2,646.85, 3,968.99 and 797.62 is: 1,196.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.85 : 3,968.99 = 797.62 : x
  2. Step 2: Convert to fraction form
    2,646.85/3,968.99 = 797.62/x
  3. Step 3: Cross multiply
    2,646.85x = 3,968.99 × 797.62
  4. Step 4: Simplify right side
    2,646.85x = 3,165,743.81
  5. Step 5: Solve for x
    x = 3,165,743.81/2,646.85
  6. Step 6: Final answer
    x = 1,196.04

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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.