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Finding the Fourth Proportional to 2,646.12, 3,969.02 and 914.68

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Solution

The fourth proportional to 2,646.12, 3,969.02 and 914.68 is: 1,371.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.12 : 3,969.02 = 914.68 : x
  2. Step 2: Convert to fraction form
    2,646.12/3,969.02 = 914.68/x
  3. Step 3: Cross multiply
    2,646.12x = 3,969.02 × 914.68
  4. Step 4: Simplify right side
    2,646.12x = 3,630,383.21
  5. Step 5: Solve for x
    x = 3,630,383.21/2,646.12
  6. Step 6: Final answer
    x = 1,371.96

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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.