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Finding the Fourth Proportional to 17,140.80, 25,714.80 and 5,293.60

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Solution

The fourth proportional to 17,140.80, 25,714.80 and 5,293.60 is: 7,941.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,140.80 : 25,714.80 = 5,293.60 : x
  2. Step 2: Convert to fraction form
    17,140.80/25,714.80 = 5,293.60/x
  3. Step 3: Cross multiply
    17,140.80x = 25,714.80 × 5,293.60
  4. Step 4: Simplify right side
    17,140.80x = 136,123,865.28
  5. Step 5: Solve for x
    x = 136,123,865.28/17,140.80
  6. Step 6: Final answer
    x = 7,941.51

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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.