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Finding the Fourth Proportional to 18,678, 25,777.26 and 10,296.12

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Solution

The fourth proportional to 18,678, 25,777.26 and 10,296.12 is: 14,209.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,678 : 25,777.26 = 10,296.12 : x
  2. Step 2: Convert to fraction form
    18,678/25,777.26 = 10,296.12/x
  3. Step 3: Cross multiply
    18,678x = 25,777.26 × 10,296.12
  4. Step 4: Simplify right side
    18,678x = 265,405,762.23
  5. Step 5: Solve for x
    x = 265,405,762.23/18,678
  6. Step 6: Final answer
    x = 14,209.54

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1.5x scale

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.