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Finding the Fourth Proportional to 12,177, 16,804.26 and 6,871.70

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Solution

The fourth proportional to 12,177, 16,804.26 and 6,871.70 is: 9,482.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177 : 16,804.26 = 6,871.70 : x
  2. Step 2: Convert to fraction form
    12,177/16,804.26 = 6,871.70/x
  3. Step 3: Cross multiply
    12,177x = 16,804.26 × 6,871.70
  4. Step 4: Simplify right side
    12,177x = 115,473,875.45
  5. Step 5: Solve for x
    x = 115,473,875.45/12,177
  6. Step 6: Final answer
    x = 9,482.95

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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.