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Finding the Fourth Proportional to 7,828.88, 11,792.18 and 7,287.92

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Solution

The fourth proportional to 7,828.88, 11,792.18 and 7,287.92 is: 10,977.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.88 : 11,792.18 = 7,287.92 : x
  2. Step 2: Convert to fraction form
    7,828.88/11,792.18 = 7,287.92/x
  3. Step 3: Cross multiply
    7,828.88x = 11,792.18 × 7,287.92
  4. Step 4: Simplify right side
    7,828.88x = 85,940,464.47
  5. Step 5: Solve for x
    x = 85,940,464.47/7,828.88
  6. Step 6: Final answer
    x = 10,977.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.