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Finding the Fourth Proportional to 11,965.76, 17,958 and 8,293.76

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Solution

The fourth proportional to 11,965.76, 17,958 and 8,293.76 is: 12,447.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.76 : 17,958 = 8,293.76 : x
  2. Step 2: Convert to fraction form
    11,965.76/17,958 = 8,293.76/x
  3. Step 3: Cross multiply
    11,965.76x = 17,958 × 8,293.76
  4. Step 4: Simplify right side
    11,965.76x = 148,939,342.08
  5. Step 5: Solve for x
    x = 148,939,342.08/11,965.76
  6. Step 6: Final answer
    x = 12,447.13

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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.