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Finding the Fourth Proportional to 2,172.96, 3,284.28 and 2,172.96

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Solution

The fourth proportional to 2,172.96, 3,284.28 and 2,172.96 is: 3,284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.96 : 3,284.28 = 2,172.96 : x
  2. Step 2: Convert to fraction form
    2,172.96/3,284.28 = 2,172.96/x
  3. Step 3: Cross multiply
    2,172.96x = 3,284.28 × 2,172.96
  4. Step 4: Simplify right side
    2,172.96x = 7,136,609.07
  5. Step 5: Solve for x
    x = 7,136,609.07/2,172.96
  6. Step 6: Final answer
    x = 3,284.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.