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Finding the Fourth Proportional to 21,823.34, 32,713.14 and 19,198.94

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Solution

The fourth proportional to 21,823.34, 32,713.14 and 19,198.94 is: 28,779.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,823.34 : 32,713.14 = 19,198.94 : x
  2. Step 2: Convert to fraction form
    21,823.34/32,713.14 = 19,198.94/x
  3. Step 3: Cross multiply
    21,823.34x = 32,713.14 × 19,198.94
  4. Step 4: Simplify right side
    21,823.34x = 628,057,612.07
  5. Step 5: Solve for x
    x = 628,057,612.07/21,823.34
  6. Step 6: Final answer
    x = 28,779.17

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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.