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Finding the Fourth Proportional to 12,178.95, 16,806.89 and 6,801.08

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Solution

The fourth proportional to 12,178.95, 16,806.89 and 6,801.08 is: 9,385.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.95 : 16,806.89 = 6,801.08 : x
  2. Step 2: Convert to fraction form
    12,178.95/16,806.89 = 6,801.08/x
  3. Step 3: Cross multiply
    12,178.95x = 16,806.89 × 6,801.08
  4. Step 4: Simplify right side
    12,178.95x = 114,304,885.40
  5. Step 5: Solve for x
    x = 114,304,885.40/12,178.95
  6. Step 6: Final answer
    x = 9,385.45

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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.