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Finding the Fourth Proportional to 18,518.10, 27,764.87 and 10,202.10

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Solution

The fourth proportional to 18,518.10, 27,764.87 and 10,202.10 is: 15,296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,518.10 : 27,764.87 = 10,202.10 : x
  2. Step 2: Convert to fraction form
    18,518.10/27,764.87 = 10,202.10/x
  3. Step 3: Cross multiply
    18,518.10x = 27,764.87 × 10,202.10
  4. Step 4: Simplify right side
    18,518.10x = 283,259,929.22
  5. Step 5: Solve for x
    x = 283,259,929.22/18,518.10
  6. Step 6: Final answer
    x = 15,296.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.