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Finding the Fourth Proportional to 17,177.40, 25,722.90 and 13,721.40

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Solution

The fourth proportional to 17,177.40, 25,722.90 and 13,721.40 is: 20,547.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,177.40 : 25,722.90 = 13,721.40 : x
  2. Step 2: Convert to fraction form
    17,177.40/25,722.90 = 13,721.40/x
  3. Step 3: Cross multiply
    17,177.40x = 25,722.90 × 13,721.40
  4. Step 4: Simplify right side
    17,177.40x = 352,954,200.06
  5. Step 5: Solve for x
    x = 352,954,200.06/17,177.40
  6. Step 6: Final answer
    x = 20,547.59

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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.