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Finding the Fourth Proportional to 11,888.31, 17,825.79 and 8,144.32

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Solution

The fourth proportional to 11,888.31, 17,825.79 and 8,144.32 is: 12,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,888.31 : 17,825.79 = 8,144.32 : x
  2. Step 2: Convert to fraction form
    11,888.31/17,825.79 = 8,144.32/x
  3. Step 3: Cross multiply
    11,888.31x = 17,825.79 × 8,144.32
  4. Step 4: Simplify right side
    11,888.31x = 145,178,808.16
  5. Step 5: Solve for x
    x = 145,178,808.16/11,888.31
  6. Step 6: Final answer
    x = 12,211.90

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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.