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Finding the Fourth Proportional to 3,914, 5,871.06 and 1,178

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Solution

The fourth proportional to 3,914, 5,871.06 and 1,178 is: 1,767.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914 : 5,871.06 = 1,178 : x
  2. Step 2: Convert to fraction form
    3,914/5,871.06 = 1,178/x
  3. Step 3: Cross multiply
    3,914x = 5,871.06 × 1,178
  4. Step 4: Simplify right side
    3,914x = 6,916,108.68
  5. Step 5: Solve for x
    x = 6,916,108.68/3,914
  6. Step 6: Final answer
    x = 1,767.02

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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.