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Finding the Fourth Proportional to 20,574.84, 30,859.92 and 5,784.36

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Solution

The fourth proportional to 20,574.84, 30,859.92 and 5,784.36 is: 8,675.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,574.84 : 30,859.92 = 5,784.36 : x
  2. Step 2: Convert to fraction form
    20,574.84/30,859.92 = 5,784.36/x
  3. Step 3: Cross multiply
    20,574.84x = 30,859.92 × 5,784.36
  4. Step 4: Simplify right side
    20,574.84x = 178,504,886.85
  5. Step 5: Solve for x
    x = 178,504,886.85/20,574.84
  6. Step 6: Final answer
    x = 8,675.88

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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.