Home / 20,198-27,875.40-13,126.16

Finding the Fourth Proportional to 20,198, 27,875.40 and 13,126.16

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Solution

The fourth proportional to 20,198, 27,875.40 and 13,126.16 is: 18,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198 : 27,875.40 = 13,126.16 : x
  2. Step 2: Convert to fraction form
    20,198/27,875.40 = 13,126.16/x
  3. Step 3: Cross multiply
    20,198x = 27,875.40 × 13,126.16
  4. Step 4: Simplify right side
    20,198x = 365,896,960.46
  5. Step 5: Solve for x
    x = 365,896,960.46/20,198
  6. Step 6: Final answer
    x = 18,115.50

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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.