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Finding the Fourth Proportional to 5,321.57, 7,344.14 and 2,964.20

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Solution

The fourth proportional to 5,321.57, 7,344.14 and 2,964.20 is: 4,090.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.57 : 7,344.14 = 2,964.20 : x
  2. Step 2: Convert to fraction form
    5,321.57/7,344.14 = 2,964.20/x
  3. Step 3: Cross multiply
    5,321.57x = 7,344.14 × 2,964.20
  4. Step 4: Simplify right side
    5,321.57x = 21,769,448.25
  5. Step 5: Solve for x
    x = 21,769,448.25/5,321.57
  6. Step 6: Final answer
    x = 4,090.80

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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.