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Finding the Fourth Proportional to 18,705, 25,812.90 and 11,253

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Solution

The fourth proportional to 18,705, 25,812.90 and 11,253 is: 15,529.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,705 : 25,812.90 = 11,253 : x
  2. Step 2: Convert to fraction form
    18,705/25,812.90 = 11,253/x
  3. Step 3: Cross multiply
    18,705x = 25,812.90 × 11,253
  4. Step 4: Simplify right side
    18,705x = 290,472,563.70
  5. Step 5: Solve for x
    x = 290,472,563.70/18,705
  6. Step 6: Final answer
    x = 15,529.14

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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.