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Finding the Fourth Proportional to 12,260, 18,333.92 and 9,142.14

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Solution

The fourth proportional to 12,260, 18,333.92 and 9,142.14 is: 13,671.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,260 : 18,333.92 = 9,142.14 : x
  2. Step 2: Convert to fraction form
    12,260/18,333.92 = 9,142.14/x
  3. Step 3: Cross multiply
    12,260x = 18,333.92 × 9,142.14
  4. Step 4: Simplify right side
    12,260x = 167,611,263.39
  5. Step 5: Solve for x
    x = 167,611,263.39/12,260
  6. Step 6: Final answer
    x = 13,671.39

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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.