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Finding the Fourth Proportional to 12,877.11, 17,774.64 and 8,167.77

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Solution

The fourth proportional to 12,877.11, 17,774.64 and 8,167.77 is: 11,274.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.11 : 17,774.64 = 8,167.77 : x
  2. Step 2: Convert to fraction form
    12,877.11/17,774.64 = 8,167.77/x
  3. Step 3: Cross multiply
    12,877.11x = 17,774.64 × 8,167.77
  4. Step 4: Simplify right side
    12,877.11x = 145,179,171.35
  5. Step 5: Solve for x
    x = 145,179,171.35/12,877.11
  6. Step 6: Final answer
    x = 11,274.20

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1.5x scale

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.