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Finding the Fourth Proportional to 25,759, 38,643.36 and 11,908

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Solution

The fourth proportional to 25,759, 38,643.36 and 11,908 is: 17,864.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,759 : 38,643.36 = 11,908 : x
  2. Step 2: Convert to fraction form
    25,759/38,643.36 = 11,908/x
  3. Step 3: Cross multiply
    25,759x = 38,643.36 × 11,908
  4. Step 4: Simplify right side
    25,759x = 460,165,130.88
  5. Step 5: Solve for x
    x = 460,165,130.88/25,759
  6. Step 6: Final answer
    x = 17,864.25

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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.