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Finding the Fourth Proportional to 18,431.70, 25,435.50 and 10,878

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Solution

The fourth proportional to 18,431.70, 25,435.50 and 10,878 is: 15,011.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,431.70 : 25,435.50 = 10,878 : x
  2. Step 2: Convert to fraction form
    18,431.70/25,435.50 = 10,878/x
  3. Step 3: Cross multiply
    18,431.70x = 25,435.50 × 10,878
  4. Step 4: Simplify right side
    18,431.70x = 276,687,369
  5. Step 5: Solve for x
    x = 276,687,369/18,431.70
  6. Step 6: Final answer
    x = 15,011.49

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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.