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Finding the Fourth Proportional to 17,821.60, 26,703.60 and 16,784.80

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Solution

The fourth proportional to 17,821.60, 26,703.60 and 16,784.80 is: 25,150.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,821.60 : 26,703.60 = 16,784.80 : x
  2. Step 2: Convert to fraction form
    17,821.60/26,703.60 = 16,784.80/x
  3. Step 3: Cross multiply
    17,821.60x = 26,703.60 × 16,784.80
  4. Step 4: Simplify right side
    17,821.60x = 448,214,585.28
  5. Step 5: Solve for x
    x = 448,214,585.28/17,821.60
  6. Step 6: Final answer
    x = 25,150.08

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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.