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Finding the Fourth Proportional to 18,381, 25,365.81 and 9,997.50

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Solution

The fourth proportional to 18,381, 25,365.81 and 9,997.50 is: 13,796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,381 : 25,365.81 = 9,997.50 : x
  2. Step 2: Convert to fraction form
    18,381/25,365.81 = 9,997.50/x
  3. Step 3: Cross multiply
    18,381x = 25,365.81 × 9,997.50
  4. Step 4: Simplify right side
    18,381x = 253,594,685.48
  5. Step 5: Solve for x
    x = 253,594,685.48/18,381
  6. Step 6: Final answer
    x = 13,796.57

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1.5x scale

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.