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Finding the Fourth Proportional to 12,405, 17,068.68 and 11,974.08

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Solution

The fourth proportional to 12,405, 17,068.68 and 11,974.08 is: 16,475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405 : 17,068.68 = 11,974.08 : x
  2. Step 2: Convert to fraction form
    12,405/17,068.68 = 11,974.08/x
  3. Step 3: Cross multiply
    12,405x = 17,068.68 × 11,974.08
  4. Step 4: Simplify right side
    12,405x = 204,381,739.81
  5. Step 5: Solve for x
    x = 204,381,739.81/12,405
  6. Step 6: Final answer
    x = 16,475.75

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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.