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Finding the Fourth Proportional to 12,156.50, 16,775.54 and 6,851

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Solution

The fourth proportional to 12,156.50, 16,775.54 and 6,851 is: 9,454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,156.50 : 16,775.54 = 6,851 : x
  2. Step 2: Convert to fraction form
    12,156.50/16,775.54 = 6,851/x
  3. Step 3: Cross multiply
    12,156.50x = 16,775.54 × 6,851
  4. Step 4: Simplify right side
    12,156.50x = 114,929,224.54
  5. Step 5: Solve for x
    x = 114,929,224.54/12,156.50
  6. Step 6: Final answer
    x = 9,454.14

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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.