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Finding the Fourth Proportional to 18,381.50, 25,366.50 and 9,998

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Solution

The fourth proportional to 18,381.50, 25,366.50 and 9,998 is: 13,797.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,381.50 : 25,366.50 = 9,998 : x
  2. Step 2: Convert to fraction form
    18,381.50/25,366.50 = 9,998/x
  3. Step 3: Cross multiply
    18,381.50x = 25,366.50 × 9,998
  4. Step 4: Simplify right side
    18,381.50x = 253,614,267
  5. Step 5: Solve for x
    x = 253,614,267/18,381.50
  6. Step 6: Final answer
    x = 13,797.26

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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.