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Finding the Fourth Proportional to 12,185, 16,815.30 and 6,596

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Solution

The fourth proportional to 12,185, 16,815.30 and 6,596 is: 9,102.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185 : 16,815.30 = 6,596 : x
  2. Step 2: Convert to fraction form
    12,185/16,815.30 = 6,596/x
  3. Step 3: Cross multiply
    12,185x = 16,815.30 × 6,596
  4. Step 4: Simplify right side
    12,185x = 110,913,718.80
  5. Step 5: Solve for x
    x = 110,913,718.80/12,185
  6. Step 6: Final answer
    x = 9,102.48

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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.