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Finding the Fourth Proportional to 5,731.68, 7,909.32 and 3,214.20

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Solution

The fourth proportional to 5,731.68, 7,909.32 and 3,214.20 is: 4,435.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.68 : 7,909.32 = 3,214.20 : x
  2. Step 2: Convert to fraction form
    5,731.68/7,909.32 = 3,214.20/x
  3. Step 3: Cross multiply
    5,731.68x = 7,909.32 × 3,214.20
  4. Step 4: Simplify right side
    5,731.68x = 25,422,136.34
  5. Step 5: Solve for x
    x = 25,422,136.34/5,731.68
  6. Step 6: Final answer
    x = 4,435.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.