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Finding the Fourth Proportional to 17,846.37, 26,776.44 and 7,978.68

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Solution

The fourth proportional to 17,846.37, 26,776.44 and 7,978.68 is: 11,971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,846.37 : 26,776.44 = 7,978.68 : x
  2. Step 2: Convert to fraction form
    17,846.37/26,776.44 = 7,978.68/x
  3. Step 3: Cross multiply
    17,846.37x = 26,776.44 × 7,978.68
  4. Step 4: Simplify right side
    17,846.37x = 213,640,646.30
  5. Step 5: Solve for x
    x = 213,640,646.30/17,846.37
  6. Step 6: Final answer
    x = 11,971.10

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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.