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Finding the Fourth Proportional to 2,107.04, 3,161.04 and 646.40

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Solution

The fourth proportional to 2,107.04, 3,161.04 and 646.40 is: 969.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.04 : 3,161.04 = 646.40 : x
  2. Step 2: Convert to fraction form
    2,107.04/3,161.04 = 646.40/x
  3. Step 3: Cross multiply
    2,107.04x = 3,161.04 × 646.40
  4. Step 4: Simplify right side
    2,107.04x = 2,043,296.26
  5. Step 5: Solve for x
    x = 2,043,296.26/2,107.04
  6. Step 6: Final answer
    x = 969.75

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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.