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Finding the Fourth Proportional to 3,757.88, 5,637.42 and 1,161.42

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Solution

The fourth proportional to 3,757.88, 5,637.42 and 1,161.42 is: 1,742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.88 : 5,637.42 = 1,161.42 : x
  2. Step 2: Convert to fraction form
    3,757.88/5,637.42 = 1,161.42/x
  3. Step 3: Cross multiply
    3,757.88x = 5,637.42 × 1,161.42
  4. Step 4: Simplify right side
    3,757.88x = 6,547,412.34
  5. Step 5: Solve for x
    x = 6,547,412.34/3,757.88
  6. Step 6: Final answer
    x = 1,742.32

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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.