Home / 3,948-5,923.16-1,174.74

Finding the Fourth Proportional to 3,948, 5,923.16 and 1,174.74

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Solution

The fourth proportional to 3,948, 5,923.16 and 1,174.74 is: 1,762.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948 : 5,923.16 = 1,174.74 : x
  2. Step 2: Convert to fraction form
    3,948/5,923.16 = 1,174.74/x
  3. Step 3: Cross multiply
    3,948x = 5,923.16 × 1,174.74
  4. Step 4: Simplify right side
    3,948x = 6,958,172.98
  5. Step 5: Solve for x
    x = 6,958,172.98/3,948
  6. Step 6: Final answer
    x = 1,762.46

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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.