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Finding the Fourth Proportional to 18,578, 25,637.64 and 10,194.50

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Solution

The fourth proportional to 18,578, 25,637.64 and 10,194.50 is: 14,068.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,578 : 25,637.64 = 10,194.50 : x
  2. Step 2: Convert to fraction form
    18,578/25,637.64 = 10,194.50/x
  3. Step 3: Cross multiply
    18,578x = 25,637.64 × 10,194.50
  4. Step 4: Simplify right side
    18,578x = 261,362,920.98
  5. Step 5: Solve for x
    x = 261,362,920.98/18,578
  6. Step 6: Final answer
    x = 14,068.41

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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.