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Finding the Fourth Proportional to 13,873.64, 19,143.79 and 7,824.20

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Solution

The fourth proportional to 13,873.64, 19,143.79 and 7,824.20 is: 10,796.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.64 : 19,143.79 = 7,824.20 : x
  2. Step 2: Convert to fraction form
    13,873.64/19,143.79 = 7,824.20/x
  3. Step 3: Cross multiply
    13,873.64x = 19,143.79 × 7,824.20
  4. Step 4: Simplify right side
    13,873.64x = 149,784,726.44
  5. Step 5: Solve for x
    x = 149,784,726.44/13,873.64
  6. Step 6: Final answer
    x = 10,796.36

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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.