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Finding the Fourth Proportional to 2,720.74, 3,755.42 and 1,776.67

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Solution

The fourth proportional to 2,720.74, 3,755.42 and 1,776.67 is: 2,452.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.74 : 3,755.42 = 1,776.67 : x
  2. Step 2: Convert to fraction form
    2,720.74/3,755.42 = 1,776.67/x
  3. Step 3: Cross multiply
    2,720.74x = 3,755.42 × 1,776.67
  4. Step 4: Simplify right side
    2,720.74x = 6,672,148.23
  5. Step 5: Solve for x
    x = 6,672,148.23/2,720.74
  6. Step 6: Final answer
    x = 2,452.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.