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Finding the Fourth Proportional to 5,215.42, 7,197.42 and 2,857.58

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Solution

The fourth proportional to 5,215.42, 7,197.42 and 2,857.58 is: 3,943.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.42 : 7,197.42 = 2,857.58 : x
  2. Step 2: Convert to fraction form
    5,215.42/7,197.42 = 2,857.58/x
  3. Step 3: Cross multiply
    5,215.42x = 7,197.42 × 2,857.58
  4. Step 4: Simplify right side
    5,215.42x = 20,567,205.16
  5. Step 5: Solve for x
    x = 20,567,205.16/5,215.42
  6. Step 6: Final answer
    x = 3,943.54

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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.