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Finding the Fourth Proportional to 18,659.80, 25,750.74 and 10,702

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Solution

The fourth proportional to 18,659.80, 25,750.74 and 10,702 is: 14,768.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,659.80 : 25,750.74 = 10,702 : x
  2. Step 2: Convert to fraction form
    18,659.80/25,750.74 = 10,702/x
  3. Step 3: Cross multiply
    18,659.80x = 25,750.74 × 10,702
  4. Step 4: Simplify right side
    18,659.80x = 275,584,419.48
  5. Step 5: Solve for x
    x = 275,584,419.48/18,659.80
  6. Step 6: Final answer
    x = 14,768.88

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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.