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Finding the Fourth Proportional to 18,502.70, 27,771.45 and 9,743.90

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Solution

The fourth proportional to 18,502.70, 27,771.45 and 9,743.90 is: 14,625.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,502.70 : 27,771.45 = 9,743.90 : x
  2. Step 2: Convert to fraction form
    18,502.70/27,771.45 = 9,743.90/x
  3. Step 3: Cross multiply
    18,502.70x = 27,771.45 × 9,743.90
  4. Step 4: Simplify right side
    18,502.70x = 270,602,231.66
  5. Step 5: Solve for x
    x = 270,602,231.66/18,502.70
  6. Step 6: Final answer
    x = 14,625.01

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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.