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Finding the Fourth Proportional to 11,993.12, 17,980.74 and 8,284.76

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Solution

The fourth proportional to 11,993.12, 17,980.74 and 8,284.76 is: 12,420.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.12 : 17,980.74 = 8,284.76 : x
  2. Step 2: Convert to fraction form
    11,993.12/17,980.74 = 8,284.76/x
  3. Step 3: Cross multiply
    11,993.12x = 17,980.74 × 8,284.76
  4. Step 4: Simplify right side
    11,993.12x = 148,966,115.52
  5. Step 5: Solve for x
    x = 148,966,115.52/11,993.12
  6. Step 6: Final answer
    x = 12,420.96

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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.