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Finding the Fourth Proportional to 17,782.48, 26,617.80 and 12,203.20

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Solution

The fourth proportional to 17,782.48, 26,617.80 and 12,203.20 is: 18,266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.48 : 26,617.80 = 12,203.20 : x
  2. Step 2: Convert to fraction form
    17,782.48/26,617.80 = 12,203.20/x
  3. Step 3: Cross multiply
    17,782.48x = 26,617.80 × 12,203.20
  4. Step 4: Simplify right side
    17,782.48x = 324,822,336.96
  5. Step 5: Solve for x
    x = 324,822,336.96/17,782.48
  6. Step 6: Final answer
    x = 18,266.42

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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.