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Finding the Fourth Proportional to 3,072.70, 4,609.05 and 1,971.10

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Solution

The fourth proportional to 3,072.70, 4,609.05 and 1,971.10 is: 2,956.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.70 : 4,609.05 = 1,971.10 : x
  2. Step 2: Convert to fraction form
    3,072.70/4,609.05 = 1,971.10/x
  3. Step 3: Cross multiply
    3,072.70x = 4,609.05 × 1,971.10
  4. Step 4: Simplify right side
    3,072.70x = 9,084,898.46
  5. Step 5: Solve for x
    x = 9,084,898.46/3,072.70
  6. Step 6: Final answer
    x = 2,956.65

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Similar ratio
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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.