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Finding the Fourth Proportional to 17,187.78, 23,693.78 and 13,406.70

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Solution

The fourth proportional to 17,187.78, 23,693.78 and 13,406.70 is: 18,481.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,187.78 : 23,693.78 = 13,406.70 : x
  2. Step 2: Convert to fraction form
    17,187.78/23,693.78 = 13,406.70/x
  3. Step 3: Cross multiply
    17,187.78x = 23,693.78 × 13,406.70
  4. Step 4: Simplify right side
    17,187.78x = 317,655,400.33
  5. Step 5: Solve for x
    x = 317,655,400.33/17,187.78
  6. Step 6: Final answer
    x = 18,481.47

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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.