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Finding the Fourth Proportional to 18,361.52, 25,338.90 and 9,978

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Solution

The fourth proportional to 18,361.52, 25,338.90 and 9,978 is: 13,769.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,361.52 : 25,338.90 = 9,978 : x
  2. Step 2: Convert to fraction form
    18,361.52/25,338.90 = 9,978/x
  3. Step 3: Cross multiply
    18,361.52x = 25,338.90 × 9,978
  4. Step 4: Simplify right side
    18,361.52x = 252,831,544.20
  5. Step 5: Solve for x
    x = 252,831,544.20/18,361.52
  6. Step 6: Final answer
    x = 13,769.64

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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.