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Finding the Fourth Proportional to 3,171.34, 4,757.01 and 862.84

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Solution

The fourth proportional to 3,171.34, 4,757.01 and 862.84 is: 1,294.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.34 : 4,757.01 = 862.84 : x
  2. Step 2: Convert to fraction form
    3,171.34/4,757.01 = 862.84/x
  3. Step 3: Cross multiply
    3,171.34x = 4,757.01 × 862.84
  4. Step 4: Simplify right side
    3,171.34x = 4,104,538.51
  5. Step 5: Solve for x
    x = 4,104,538.51/3,171.34
  6. Step 6: Final answer
    x = 1,294.26

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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.