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Finding the Fourth Proportional to 18,643.77, 27,945.36 and 9,290.70

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Solution

The fourth proportional to 18,643.77, 27,945.36 and 9,290.70 is: 13,925.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,643.77 : 27,945.36 = 9,290.70 : x
  2. Step 2: Convert to fraction form
    18,643.77/27,945.36 = 9,290.70/x
  3. Step 3: Cross multiply
    18,643.77x = 27,945.36 × 9,290.70
  4. Step 4: Simplify right side
    18,643.77x = 259,631,956.15
  5. Step 5: Solve for x
    x = 259,631,956.15/18,643.77
  6. Step 6: Final answer
    x = 13,925.94

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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.