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Finding the Fourth Proportional to 25,410, 38,078.10 and 18,028.88

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Solution

The fourth proportional to 25,410, 38,078.10 and 18,028.88 is: 27,017.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,410 : 38,078.10 = 18,028.88 : x
  2. Step 2: Convert to fraction form
    25,410/38,078.10 = 18,028.88/x
  3. Step 3: Cross multiply
    25,410x = 38,078.10 × 18,028.88
  4. Step 4: Simplify right side
    25,410x = 686,505,305.14
  5. Step 5: Solve for x
    x = 686,505,305.14/25,410
  6. Step 6: Final answer
    x = 27,017.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.