Home / 7,932.64-11,881.68-3,820

Finding the Fourth Proportional to 7,932.64, 11,881.68 and 3,820

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Solution

The fourth proportional to 7,932.64, 11,881.68 and 3,820 is: 5,721.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,932.64 : 11,881.68 = 3,820 : x
  2. Step 2: Convert to fraction form
    7,932.64/11,881.68 = 3,820/x
  3. Step 3: Cross multiply
    7,932.64x = 11,881.68 × 3,820
  4. Step 4: Simplify right side
    7,932.64x = 45,388,017.60
  5. Step 5: Solve for x
    x = 45,388,017.60/7,932.64
  6. Step 6: Final answer
    x = 5,721.68

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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.