Home / 5,152-7,723.92-2,554.24

Finding the Fourth Proportional to 5,152, 7,723.92 and 2,554.24

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Solution

The fourth proportional to 5,152, 7,723.92 and 2,554.24 is: 3,829.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152 : 7,723.92 = 2,554.24 : x
  2. Step 2: Convert to fraction form
    5,152/7,723.92 = 2,554.24/x
  3. Step 3: Cross multiply
    5,152x = 7,723.92 × 2,554.24
  4. Step 4: Simplify right side
    5,152x = 19,728,745.42
  5. Step 5: Solve for x
    x = 19,728,745.42/5,152
  6. Step 6: Final answer
    x = 3,829.34

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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.