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Finding the Fourth Proportional to 17,385.60, 26,080.80 and 6,289.60

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Solution

The fourth proportional to 17,385.60, 26,080.80 and 6,289.60 is: 9,435.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,385.60 : 26,080.80 = 6,289.60 : x
  2. Step 2: Convert to fraction form
    17,385.60/26,080.80 = 6,289.60/x
  3. Step 3: Cross multiply
    17,385.60x = 26,080.80 × 6,289.60
  4. Step 4: Simplify right side
    17,385.60x = 164,037,799.68
  5. Step 5: Solve for x
    x = 164,037,799.68/17,385.60
  6. Step 6: Final answer
    x = 9,435.27

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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.