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Finding the Fourth Proportional to 18,599, 25,667.82 and 10,643.80

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Solution

The fourth proportional to 18,599, 25,667.82 and 10,643.80 is: 14,689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,599 : 25,667.82 = 10,643.80 : x
  2. Step 2: Convert to fraction form
    18,599/25,667.82 = 10,643.80/x
  3. Step 3: Cross multiply
    18,599x = 25,667.82 × 10,643.80
  4. Step 4: Simplify right side
    18,599x = 273,203,142.52
  5. Step 5: Solve for x
    x = 273,203,142.52/18,599
  6. Step 6: Final answer
    x = 14,689.13

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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.