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Finding the Fourth Proportional to 18,613.56, 25,686.96 and 10,230

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Solution

The fourth proportional to 18,613.56, 25,686.96 and 10,230 is: 14,117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,613.56 : 25,686.96 = 10,230 : x
  2. Step 2: Convert to fraction form
    18,613.56/25,686.96 = 10,230/x
  3. Step 3: Cross multiply
    18,613.56x = 25,686.96 × 10,230
  4. Step 4: Simplify right side
    18,613.56x = 262,777,600.80
  5. Step 5: Solve for x
    x = 262,777,600.80/18,613.56
  6. Step 6: Final answer
    x = 14,117.54

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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.