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Finding the Fourth Proportional to 3,755.79, 5,634.23 and 1,256.13

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Solution

The fourth proportional to 3,755.79, 5,634.23 and 1,256.13 is: 1,884.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.79 : 5,634.23 = 1,256.13 : x
  2. Step 2: Convert to fraction form
    3,755.79/5,634.23 = 1,256.13/x
  3. Step 3: Cross multiply
    3,755.79x = 5,634.23 × 1,256.13
  4. Step 4: Simplify right side
    3,755.79x = 7,077,319.05
  5. Step 5: Solve for x
    x = 7,077,319.05/3,755.79
  6. Step 6: Final answer
    x = 1,884.38

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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.