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Finding the Fourth Proportional to 3,111.81, 4,667.65 and 771.82

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Solution

The fourth proportional to 3,111.81, 4,667.65 and 771.82 is: 1,157.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.81 : 4,667.65 = 771.82 : x
  2. Step 2: Convert to fraction form
    3,111.81/4,667.65 = 771.82/x
  3. Step 3: Cross multiply
    3,111.81x = 4,667.65 × 771.82
  4. Step 4: Simplify right side
    3,111.81x = 3,602,562.28
  5. Step 5: Solve for x
    x = 3,602,562.28/3,111.81
  6. Step 6: Final answer
    x = 1,157.71

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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.