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Finding the Fourth Proportional to 25,639, 35,381.82 and 13,863

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Solution

The fourth proportional to 25,639, 35,381.82 and 13,863 is: 19,130.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,639 : 35,381.82 = 13,863 : x
  2. Step 2: Convert to fraction form
    25,639/35,381.82 = 13,863/x
  3. Step 3: Cross multiply
    25,639x = 35,381.82 × 13,863
  4. Step 4: Simplify right side
    25,639x = 490,498,170.66
  5. Step 5: Solve for x
    x = 490,498,170.66/25,639
  6. Step 6: Final answer
    x = 19,130.94

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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.