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Finding the Fourth Proportional to 21,096.84, 31,620.42 and 8,609.07

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Solution

The fourth proportional to 21,096.84, 31,620.42 and 8,609.07 is: 12,903.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,096.84 : 31,620.42 = 8,609.07 : x
  2. Step 2: Convert to fraction form
    21,096.84/31,620.42 = 8,609.07/x
  3. Step 3: Cross multiply
    21,096.84x = 31,620.42 × 8,609.07
  4. Step 4: Simplify right side
    21,096.84x = 272,222,409.21
  5. Step 5: Solve for x
    x = 272,222,409.21/21,096.84
  6. Step 6: Final answer
    x = 12,903.47

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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.