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Finding the Fourth Proportional to 13,874.16, 19,146.36 and 7,824.48

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Solution

The fourth proportional to 13,874.16, 19,146.36 and 7,824.48 is: 10,797.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.16 : 19,146.36 = 7,824.48 : x
  2. Step 2: Convert to fraction form
    13,874.16/19,146.36 = 7,824.48/x
  3. Step 3: Cross multiply
    13,874.16x = 19,146.36 × 7,824.48
  4. Step 4: Simplify right side
    13,874.16x = 149,810,310.89
  5. Step 5: Solve for x
    x = 149,810,310.89/13,874.16
  6. Step 6: Final answer
    x = 10,797.79

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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.