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Finding the Fourth Proportional to 3,714.09, 5,571.15 and 940.77

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Solution

The fourth proportional to 3,714.09, 5,571.15 and 940.77 is: 1,411.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.09 : 5,571.15 = 940.77 : x
  2. Step 2: Convert to fraction form
    3,714.09/5,571.15 = 940.77/x
  3. Step 3: Cross multiply
    3,714.09x = 5,571.15 × 940.77
  4. Step 4: Simplify right side
    3,714.09x = 5,241,170.79
  5. Step 5: Solve for x
    x = 5,241,170.79/3,714.09
  6. Step 6: Final answer
    x = 1,411.16

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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.