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Finding the Fourth Proportional to 12,185, 16,816.08 and 6,877.88

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Solution

The fourth proportional to 12,185, 16,816.08 and 6,877.88 is: 9,491.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185 : 16,816.08 = 6,877.88 : x
  2. Step 2: Convert to fraction form
    12,185/16,816.08 = 6,877.88/x
  3. Step 3: Cross multiply
    12,185x = 16,816.08 × 6,877.88
  4. Step 4: Simplify right side
    12,185x = 115,658,980.31
  5. Step 5: Solve for x
    x = 115,658,980.31/12,185
  6. Step 6: Final answer
    x = 9,491.91

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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.