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Finding the Fourth Proportional to 2,971.81, 4,458.53 and 1,241.65

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Solution

The fourth proportional to 2,971.81, 4,458.53 and 1,241.65 is: 1,862.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.81 : 4,458.53 = 1,241.65 : x
  2. Step 2: Convert to fraction form
    2,971.81/4,458.53 = 1,241.65/x
  3. Step 3: Cross multiply
    2,971.81x = 4,458.53 × 1,241.65
  4. Step 4: Simplify right side
    2,971.81x = 5,535,933.77
  5. Step 5: Solve for x
    x = 5,535,933.77/2,971.81
  6. Step 6: Final answer
    x = 1,862.82

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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.