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Finding the Fourth Proportional to 12,372, 18,511.50 and 8,681.43

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Solution

The fourth proportional to 12,372, 18,511.50 and 8,681.43 is: 12,989.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,372 : 18,511.50 = 8,681.43 : x
  2. Step 2: Convert to fraction form
    12,372/18,511.50 = 8,681.43/x
  3. Step 3: Cross multiply
    12,372x = 18,511.50 × 8,681.43
  4. Step 4: Simplify right side
    12,372x = 160,706,291.45
  5. Step 5: Solve for x
    x = 160,706,291.45/12,372
  6. Step 6: Final answer
    x = 12,989.52

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Why These Related Problems?

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