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Finding the Fourth Proportional to 12,155, 16,773.92 and 6,566

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Solution

The fourth proportional to 12,155, 16,773.92 and 6,566 is: 9,061.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,155 : 16,773.92 = 6,566 : x
  2. Step 2: Convert to fraction form
    12,155/16,773.92 = 6,566/x
  3. Step 3: Cross multiply
    12,155x = 16,773.92 × 6,566
  4. Step 4: Simplify right side
    12,155x = 110,137,525.89
  5. Step 5: Solve for x
    x = 110,137,525.89/12,155
  6. Step 6: Final answer
    x = 9,061.09

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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.