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Finding the Fourth Proportional to 21,243.85, 31,837.07 and 8,089.05

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Solution

The fourth proportional to 21,243.85, 31,837.07 and 8,089.05 is: 12,122.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,243.85 : 31,837.07 = 8,089.05 : x
  2. Step 2: Convert to fraction form
    21,243.85/31,837.07 = 8,089.05/x
  3. Step 3: Cross multiply
    21,243.85x = 31,837.07 × 8,089.05
  4. Step 4: Simplify right side
    21,243.85x = 257,531,506.83
  5. Step 5: Solve for x
    x = 257,531,506.83/21,243.85
  6. Step 6: Final answer
    x = 12,122.64

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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.