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Finding the Fourth Proportional to 25,876.80, 38,813.04 and 13,383.36

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Solution

The fourth proportional to 25,876.80, 38,813.04 and 13,383.36 is: 20,073.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,876.80 : 38,813.04 = 13,383.36 : x
  2. Step 2: Convert to fraction form
    25,876.80/38,813.04 = 13,383.36/x
  3. Step 3: Cross multiply
    25,876.80x = 38,813.04 × 13,383.36
  4. Step 4: Simplify right side
    25,876.80x = 519,448,887.01
  5. Step 5: Solve for x
    x = 519,448,887.01/25,876.80
  6. Step 6: Final answer
    x = 20,073.92

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