Home / 7,828.64-11,732-5,627.04

Finding the Fourth Proportional to 7,828.64, 11,732 and 5,627.04

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Solution

The fourth proportional to 7,828.64, 11,732 and 5,627.04 is: 8,432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.64 : 11,732 = 5,627.04 : x
  2. Step 2: Convert to fraction form
    7,828.64/11,732 = 5,627.04/x
  3. Step 3: Cross multiply
    7,828.64x = 11,732 × 5,627.04
  4. Step 4: Simplify right side
    7,828.64x = 66,016,433.28
  5. Step 5: Solve for x
    x = 66,016,433.28/7,828.64
  6. Step 6: Final answer
    x = 8,432.68

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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.