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Finding the Fourth Proportional to 20,384.80, 28,119.09 and 12,819.16

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Solution

The fourth proportional to 20,384.80, 28,119.09 and 12,819.16 is: 17,682.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,384.80 : 28,119.09 = 12,819.16 : x
  2. Step 2: Convert to fraction form
    20,384.80/28,119.09 = 12,819.16/x
  3. Step 3: Cross multiply
    20,384.80x = 28,119.09 × 12,819.16
  4. Step 4: Simplify right side
    20,384.80x = 360,463,113.76
  5. Step 5: Solve for x
    x = 360,463,113.76/20,384.80
  6. Step 6: Final answer
    x = 17,682.94

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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.