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Finding the Fourth Proportional to 3,853.14, 5,779.72 and 931.44

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Solution

The fourth proportional to 3,853.14, 5,779.72 and 931.44 is: 1,397.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.14 : 5,779.72 = 931.44 : x
  2. Step 2: Convert to fraction form
    3,853.14/5,779.72 = 931.44/x
  3. Step 3: Cross multiply
    3,853.14x = 5,779.72 × 931.44
  4. Step 4: Simplify right side
    3,853.14x = 5,383,462.40
  5. Step 5: Solve for x
    x = 5,383,462.40/3,853.14
  6. Step 6: Final answer
    x = 1,397.16

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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.