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Finding the Fourth Proportional to 2,164, 3,246 and 2,071.68

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Solution

The fourth proportional to 2,164, 3,246 and 2,071.68 is: 3,107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164 : 3,246 = 2,071.68 : x
  2. Step 2: Convert to fraction form
    2,164/3,246 = 2,071.68/x
  3. Step 3: Cross multiply
    2,164x = 3,246 × 2,071.68
  4. Step 4: Simplify right side
    2,164x = 6,724,673.28
  5. Step 5: Solve for x
    x = 6,724,673.28/2,164
  6. Step 6: Final answer
    x = 3,107.52

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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.