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Finding the Fourth Proportional to 11,983.12, 17,980.82 and 9,079.26

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Solution

The fourth proportional to 11,983.12, 17,980.82 and 9,079.26 is: 13,623.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,983.12 : 17,980.82 = 9,079.26 : x
  2. Step 2: Convert to fraction form
    11,983.12/17,980.82 = 9,079.26/x
  3. Step 3: Cross multiply
    11,983.12x = 17,980.82 × 9,079.26
  4. Step 4: Simplify right side
    11,983.12x = 163,252,539.79
  5. Step 5: Solve for x
    x = 163,252,539.79/11,983.12
  6. Step 6: Final answer
    x = 13,623.54

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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.