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Finding the Fourth Proportional to 12,792.96, 17,662.44 and 9,803.28

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Solution

The fourth proportional to 12,792.96, 17,662.44 and 9,803.28 is: 13,534.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,792.96 : 17,662.44 = 9,803.28 : x
  2. Step 2: Convert to fraction form
    12,792.96/17,662.44 = 9,803.28/x
  3. Step 3: Cross multiply
    12,792.96x = 17,662.44 × 9,803.28
  4. Step 4: Simplify right side
    12,792.96x = 173,149,844.80
  5. Step 5: Solve for x
    x = 173,149,844.80/12,792.96
  6. Step 6: Final answer
    x = 13,534.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.