Home / 5,176-7,764.73-1,664.83

Finding the Fourth Proportional to 5,176, 7,764.73 and 1,664.83

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Solution

The fourth proportional to 5,176, 7,764.73 and 1,664.83 is: 2,497.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176 : 7,764.73 = 1,664.83 : x
  2. Step 2: Convert to fraction form
    5,176/7,764.73 = 1,664.83/x
  3. Step 3: Cross multiply
    5,176x = 7,764.73 × 1,664.83
  4. Step 4: Simplify right side
    5,176x = 12,926,955.45
  5. Step 5: Solve for x
    x = 12,926,955.45/5,176
  6. Step 6: Final answer
    x = 2,497.48

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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.