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Finding the Fourth Proportional to 18,230, 25,157.42 and 9,846.50

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Solution

The fourth proportional to 18,230, 25,157.42 and 9,846.50 is: 13,588.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,230 : 25,157.42 = 9,846.50 : x
  2. Step 2: Convert to fraction form
    18,230/25,157.42 = 9,846.50/x
  3. Step 3: Cross multiply
    18,230x = 25,157.42 × 9,846.50
  4. Step 4: Simplify right side
    18,230x = 247,712,486.80
  5. Step 5: Solve for x
    x = 247,712,486.80/18,230
  6. Step 6: Final answer
    x = 13,588.18

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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.