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Finding the Fourth Proportional to 2,185.25, 3,277.97 and 646.25

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Solution

The fourth proportional to 2,185.25, 3,277.97 and 646.25 is: 969.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.25 : 3,277.97 = 646.25 : x
  2. Step 2: Convert to fraction form
    2,185.25/3,277.97 = 646.25/x
  3. Step 3: Cross multiply
    2,185.25x = 3,277.97 × 646.25
  4. Step 4: Simplify right side
    2,185.25x = 2,118,384.88
  5. Step 5: Solve for x
    x = 2,118,384.88/2,185.25
  6. Step 6: Final answer
    x = 969.40

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Double scale
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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.