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Finding the Fourth Proportional to 11,992.40, 16,531.74 and 7,743.14

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Solution

The fourth proportional to 11,992.40, 16,531.74 and 7,743.14 is: 10,674.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,992.40 : 16,531.74 = 7,743.14 : x
  2. Step 2: Convert to fraction form
    11,992.40/16,531.74 = 7,743.14/x
  3. Step 3: Cross multiply
    11,992.40x = 16,531.74 × 7,743.14
  4. Step 4: Simplify right side
    11,992.40x = 128,007,494.60
  5. Step 5: Solve for x
    x = 128,007,494.60/11,992.40
  6. Step 6: Final answer
    x = 10,674.06

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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.