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Finding the Fourth Proportional to 2,751.81, 4,125.70 and 1,765.74

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Solution

The fourth proportional to 2,751.81, 4,125.70 and 1,765.74 is: 2,647.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.81 : 4,125.70 = 1,765.74 : x
  2. Step 2: Convert to fraction form
    2,751.81/4,125.70 = 1,765.74/x
  3. Step 3: Cross multiply
    2,751.81x = 4,125.70 × 1,765.74
  4. Step 4: Simplify right side
    2,751.81x = 7,284,913.52
  5. Step 5: Solve for x
    x = 7,284,913.52/2,751.81
  6. Step 6: Final answer
    x = 2,647.32

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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.