Home / 7,827-11,742.28-2,632.88

Finding the Fourth Proportional to 7,827, 11,742.28 and 2,632.88

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Solution

The fourth proportional to 7,827, 11,742.28 and 2,632.88 is: 3,949.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827 : 11,742.28 = 2,632.88 : x
  2. Step 2: Convert to fraction form
    7,827/11,742.28 = 2,632.88/x
  3. Step 3: Cross multiply
    7,827x = 11,742.28 × 2,632.88
  4. Step 4: Simplify right side
    7,827x = 30,916,014.17
  5. Step 5: Solve for x
    x = 30,916,014.17/7,827
  6. Step 6: Final answer
    x = 3,949.92

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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.