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Finding the Fourth Proportional to 12,929.78, 17,841.74 and 8,679.98

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Solution

The fourth proportional to 12,929.78, 17,841.74 and 8,679.98 is: 11,977.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,929.78 : 17,841.74 = 8,679.98 : x
  2. Step 2: Convert to fraction form
    12,929.78/17,841.74 = 8,679.98/x
  3. Step 3: Cross multiply
    12,929.78x = 17,841.74 × 8,679.98
  4. Step 4: Simplify right side
    12,929.78x = 154,865,946.37
  5. Step 5: Solve for x
    x = 154,865,946.37/12,929.78
  6. Step 6: Final answer
    x = 11,977.46

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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.