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Finding the Fourth Proportional to 26,422.40, 39,635.40 and 8,409.20

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Solution

The fourth proportional to 26,422.40, 39,635.40 and 8,409.20 is: 12,614.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,422.40 : 39,635.40 = 8,409.20 : x
  2. Step 2: Convert to fraction form
    26,422.40/39,635.40 = 8,409.20/x
  3. Step 3: Cross multiply
    26,422.40x = 39,635.40 × 8,409.20
  4. Step 4: Simplify right side
    26,422.40x = 333,302,005.68
  5. Step 5: Solve for x
    x = 333,302,005.68/26,422.40
  6. Step 6: Final answer
    x = 12,614.37

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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.