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Finding the Fourth Proportional to 21,891.29, 30,209.94 and 12,942.02

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Solution

The fourth proportional to 21,891.29, 30,209.94 and 12,942.02 is: 17,859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,891.29 : 30,209.94 = 12,942.02 : x
  2. Step 2: Convert to fraction form
    21,891.29/30,209.94 = 12,942.02/x
  3. Step 3: Cross multiply
    21,891.29x = 30,209.94 × 12,942.02
  4. Step 4: Simplify right side
    21,891.29x = 390,977,496.63
  5. Step 5: Solve for x
    x = 390,977,496.63/21,891.29
  6. Step 6: Final answer
    x = 17,859.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.