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Finding the Fourth Proportional to 18,659.50, 25,750.12 and 10,276

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Solution

The fourth proportional to 18,659.50, 25,750.12 and 10,276 is: 14,180.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,659.50 : 25,750.12 = 10,276 : x
  2. Step 2: Convert to fraction form
    18,659.50/25,750.12 = 10,276/x
  3. Step 3: Cross multiply
    18,659.50x = 25,750.12 × 10,276
  4. Step 4: Simplify right side
    18,659.50x = 264,608,233.12
  5. Step 5: Solve for x
    x = 264,608,233.12/18,659.50
  6. Step 6: Final answer
    x = 14,180.89

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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.