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Finding the Fourth Proportional to 2,185.38, 3,278.60 and 646.38

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Solution

The fourth proportional to 2,185.38, 3,278.60 and 646.38 is: 969.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.38 : 3,278.60 = 646.38 : x
  2. Step 2: Convert to fraction form
    2,185.38/3,278.60 = 646.38/x
  3. Step 3: Cross multiply
    2,185.38x = 3,278.60 × 646.38
  4. Step 4: Simplify right side
    2,185.38x = 2,119,206.69
  5. Step 5: Solve for x
    x = 2,119,206.69/2,185.38
  6. Step 6: Final answer
    x = 969.72

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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.