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Finding the Fourth Proportional to 20,251.80, 27,946.14 and 12,697.84

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Solution

The fourth proportional to 20,251.80, 27,946.14 and 12,697.84 is: 17,522.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,251.80 : 27,946.14 = 12,697.84 : x
  2. Step 2: Convert to fraction form
    20,251.80/27,946.14 = 12,697.84/x
  3. Step 3: Cross multiply
    20,251.80x = 27,946.14 × 12,697.84
  4. Step 4: Simplify right side
    20,251.80x = 354,855,614.34
  5. Step 5: Solve for x
    x = 354,855,614.34/20,251.80
  6. Step 6: Final answer
    x = 17,522.18

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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.