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Finding the Fourth Proportional to 17,120.16, 25,684.16 and 7,259.76

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Solution

The fourth proportional to 17,120.16, 25,684.16 and 7,259.76 is: 10,891.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,120.16 : 25,684.16 = 7,259.76 : x
  2. Step 2: Convert to fraction form
    17,120.16/25,684.16 = 7,259.76/x
  3. Step 3: Cross multiply
    17,120.16x = 25,684.16 × 7,259.76
  4. Step 4: Simplify right side
    17,120.16x = 186,460,801.10
  5. Step 5: Solve for x
    x = 186,460,801.10/17,120.16
  6. Step 6: Final answer
    x = 10,891.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.