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Finding the Fourth Proportional to 18,613.50, 25,686.63 and 10,230

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Solution

The fourth proportional to 18,613.50, 25,686.63 and 10,230 is: 14,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,613.50 : 25,686.63 = 10,230 : x
  2. Step 2: Convert to fraction form
    18,613.50/25,686.63 = 10,230/x
  3. Step 3: Cross multiply
    18,613.50x = 25,686.63 × 10,230
  4. Step 4: Simplify right side
    18,613.50x = 262,774,224.90
  5. Step 5: Solve for x
    x = 262,774,224.90/18,613.50
  6. Step 6: Final answer
    x = 14,117.40

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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.