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Finding the Fourth Proportional to 25,143, 34,698.42 and 13,965

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Solution

The fourth proportional to 25,143, 34,698.42 and 13,965 is: 19,272.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,143 : 34,698.42 = 13,965 : x
  2. Step 2: Convert to fraction form
    25,143/34,698.42 = 13,965/x
  3. Step 3: Cross multiply
    25,143x = 34,698.42 × 13,965
  4. Step 4: Simplify right side
    25,143x = 484,563,435.30
  5. Step 5: Solve for x
    x = 484,563,435.30/25,143
  6. Step 6: Final answer
    x = 19,272.30

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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.