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Finding the Fourth Proportional to 21,191.54, 31,786.53 and 6,400.07

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Solution

The fourth proportional to 21,191.54, 31,786.53 and 6,400.07 is: 9,599.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,191.54 : 31,786.53 = 6,400.07 : x
  2. Step 2: Convert to fraction form
    21,191.54/31,786.53 = 6,400.07/x
  3. Step 3: Cross multiply
    21,191.54x = 31,786.53 × 6,400.07
  4. Step 4: Simplify right side
    21,191.54x = 203,436,096.52
  5. Step 5: Solve for x
    x = 203,436,096.52/21,191.54
  6. Step 6: Final answer
    x = 9,599.88

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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.