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Finding the Fourth Proportional to 3,953.96, 5,931.24 and 1,321.40

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Solution

The fourth proportional to 3,953.96, 5,931.24 and 1,321.40 is: 1,982.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.96 : 5,931.24 = 1,321.40 : x
  2. Step 2: Convert to fraction form
    3,953.96/5,931.24 = 1,321.40/x
  3. Step 3: Cross multiply
    3,953.96x = 5,931.24 × 1,321.40
  4. Step 4: Simplify right side
    3,953.96x = 7,837,540.54
  5. Step 5: Solve for x
    x = 7,837,540.54/3,953.96
  6. Step 6: Final answer
    x = 1,982.20

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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.