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Finding the Fourth Proportional to 11,955.84, 17,922.24 and 6,405.12

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Solution

The fourth proportional to 11,955.84, 17,922.24 and 6,405.12 is: 9,601.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,955.84 : 17,922.24 = 6,405.12 : x
  2. Step 2: Convert to fraction form
    11,955.84/17,922.24 = 6,405.12/x
  3. Step 3: Cross multiply
    11,955.84x = 17,922.24 × 6,405.12
  4. Step 4: Simplify right side
    11,955.84x = 114,794,097.87
  5. Step 5: Solve for x
    x = 114,794,097.87/11,955.84
  6. Step 6: Final answer
    x = 9,601.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.