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Finding the Fourth Proportional to 12,139.95, 16,754.73 and 6,835.80

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Solution

The fourth proportional to 12,139.95, 16,754.73 and 6,835.80 is: 9,434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,139.95 : 16,754.73 = 6,835.80 : x
  2. Step 2: Convert to fraction form
    12,139.95/16,754.73 = 6,835.80/x
  3. Step 3: Cross multiply
    12,139.95x = 16,754.73 × 6,835.80
  4. Step 4: Simplify right side
    12,139.95x = 114,531,949.16
  5. Step 5: Solve for x
    x = 114,531,949.16/12,139.95
  6. Step 6: Final answer
    x = 9,434.30

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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.