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Finding the Fourth Proportional to 17,150.40, 23,630.40 and 13,780.80

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Solution

The fourth proportional to 17,150.40, 23,630.40 and 13,780.80 is: 18,987.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,150.40 : 23,630.40 = 13,780.80 : x
  2. Step 2: Convert to fraction form
    17,150.40/23,630.40 = 13,780.80/x
  3. Step 3: Cross multiply
    17,150.40x = 23,630.40 × 13,780.80
  4. Step 4: Simplify right side
    17,150.40x = 325,645,816.32
  5. Step 5: Solve for x
    x = 325,645,816.32/17,150.40
  6. Step 6: Final answer
    x = 18,987.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.