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Finding the Fourth Proportional to 18,643.44, 25,728.24 and 10,260

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Solution

The fourth proportional to 18,643.44, 25,728.24 and 10,260 is: 14,158.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,643.44 : 25,728.24 = 10,260 : x
  2. Step 2: Convert to fraction form
    18,643.44/25,728.24 = 10,260/x
  3. Step 3: Cross multiply
    18,643.44x = 25,728.24 × 10,260
  4. Step 4: Simplify right side
    18,643.44x = 263,971,742.40
  5. Step 5: Solve for x
    x = 263,971,742.40/18,643.44
  6. Step 6: Final answer
    x = 14,158.96

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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.