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Finding the Fourth Proportional to 2,071.42, 3,107.16 and 511.42

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Solution

The fourth proportional to 2,071.42, 3,107.16 and 511.42 is: 767.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.42 : 3,107.16 = 511.42 : x
  2. Step 2: Convert to fraction form
    2,071.42/3,107.16 = 511.42/x
  3. Step 3: Cross multiply
    2,071.42x = 3,107.16 × 511.42
  4. Step 4: Simplify right side
    2,071.42x = 1,589,063.77
  5. Step 5: Solve for x
    x = 1,589,063.77/2,071.42
  6. Step 6: Final answer
    x = 767.14

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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.