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Finding the Fourth Proportional to 12,166.61, 16,789.55 and 6,789.19

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Solution

The fourth proportional to 12,166.61, 16,789.55 and 6,789.19 is: 9,368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.61 : 16,789.55 = 6,789.19 : x
  2. Step 2: Convert to fraction form
    12,166.61/16,789.55 = 6,789.19/x
  3. Step 3: Cross multiply
    12,166.61x = 16,789.55 × 6,789.19
  4. Step 4: Simplify right side
    12,166.61x = 113,987,444.96
  5. Step 5: Solve for x
    x = 113,987,444.96/12,166.61
  6. Step 6: Final answer
    x = 9,368.87

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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.