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Finding the Fourth Proportional to 12,161.11, 16,782.11 and 6,855.93

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Solution

The fourth proportional to 12,161.11, 16,782.11 and 6,855.93 is: 9,461.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.11 : 16,782.11 = 6,855.93 : x
  2. Step 2: Convert to fraction form
    12,161.11/16,782.11 = 6,855.93/x
  3. Step 3: Cross multiply
    12,161.11x = 16,782.11 × 6,855.93
  4. Step 4: Simplify right side
    12,161.11x = 115,056,971.41
  5. Step 5: Solve for x
    x = 115,056,971.41/12,161.11
  6. Step 6: Final answer
    x = 9,461.06

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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.