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Finding the Fourth Proportional to 5,239.82, 7,857.68 and 1,952.16

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Solution

The fourth proportional to 5,239.82, 7,857.68 and 1,952.16 is: 2,927.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.82 : 7,857.68 = 1,952.16 : x
  2. Step 2: Convert to fraction form
    5,239.82/7,857.68 = 1,952.16/x
  3. Step 3: Cross multiply
    5,239.82x = 7,857.68 × 1,952.16
  4. Step 4: Simplify right side
    5,239.82x = 15,339,438.83
  5. Step 5: Solve for x
    x = 15,339,438.83/5,239.82
  6. Step 6: Final answer
    x = 2,927.48

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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.