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Finding the Fourth Proportional to 17,120, 25,668.48 and 7,880.96

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Solution

The fourth proportional to 17,120, 25,668.48 and 7,880.96 is: 11,816.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,120 : 25,668.48 = 7,880.96 : x
  2. Step 2: Convert to fraction form
    17,120/25,668.48 = 7,880.96/x
  3. Step 3: Cross multiply
    17,120x = 25,668.48 × 7,880.96
  4. Step 4: Simplify right side
    17,120x = 202,292,264.14
  5. Step 5: Solve for x
    x = 202,292,264.14/17,120
  6. Step 6: Final answer
    x = 11,816.14

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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.