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Finding the Fourth Proportional to 18,513.98, 27,745.80 and 7,831.46

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Solution

The fourth proportional to 18,513.98, 27,745.80 and 7,831.46 is: 11,736.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,513.98 : 27,745.80 = 7,831.46 : x
  2. Step 2: Convert to fraction form
    18,513.98/27,745.80 = 7,831.46/x
  3. Step 3: Cross multiply
    18,513.98x = 27,745.80 × 7,831.46
  4. Step 4: Simplify right side
    18,513.98x = 217,290,013.51
  5. Step 5: Solve for x
    x = 217,290,013.51/18,513.98
  6. Step 6: Final answer
    x = 11,736.54

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1.5x scale

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.