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Finding the Fourth Proportional to 2,074.34, 3,111.40 and 514.33

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Solution

The fourth proportional to 2,074.34, 3,111.40 and 514.33 is: 771.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.34 : 3,111.40 = 514.33 : x
  2. Step 2: Convert to fraction form
    2,074.34/3,111.40 = 514.33/x
  3. Step 3: Cross multiply
    2,074.34x = 3,111.40 × 514.33
  4. Step 4: Simplify right side
    2,074.34x = 1,600,277.30
  5. Step 5: Solve for x
    x = 1,600,277.30/2,074.34
  6. Step 6: Final answer
    x = 771.47

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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.