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Finding the Fourth Proportional to 3,914.65, 5,871.96 and 992.95

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Solution

The fourth proportional to 3,914.65, 5,871.96 and 992.95 is: 1,489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.65 : 5,871.96 = 992.95 : x
  2. Step 2: Convert to fraction form
    3,914.65/5,871.96 = 992.95/x
  3. Step 3: Cross multiply
    3,914.65x = 5,871.96 × 992.95
  4. Step 4: Simplify right side
    3,914.65x = 5,830,548.00
  5. Step 5: Solve for x
    x = 5,830,548.00/3,914.65
  6. Step 6: Final answer
    x = 1,489.42

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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.