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Finding the Fourth Proportional to 18,135, 25,026.30 and 10,683

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Solution

The fourth proportional to 18,135, 25,026.30 and 10,683 is: 14,742.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,135 : 25,026.30 = 10,683 : x
  2. Step 2: Convert to fraction form
    18,135/25,026.30 = 10,683/x
  3. Step 3: Cross multiply
    18,135x = 25,026.30 × 10,683
  4. Step 4: Simplify right side
    18,135x = 267,355,962.90
  5. Step 5: Solve for x
    x = 267,355,962.90/18,135
  6. Step 6: Final answer
    x = 14,742.54

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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.