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Finding the Fourth Proportional to 20,570.76, 30,857.19 and 6,529.71

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Solution

The fourth proportional to 20,570.76, 30,857.19 and 6,529.71 is: 9,794.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,570.76 : 30,857.19 = 6,529.71 : x
  2. Step 2: Convert to fraction form
    20,570.76/30,857.19 = 6,529.71/x
  3. Step 3: Cross multiply
    20,570.76x = 30,857.19 × 6,529.71
  4. Step 4: Simplify right side
    20,570.76x = 201,488,502.11
  5. Step 5: Solve for x
    x = 201,488,502.11/20,570.76
  6. Step 6: Final answer
    x = 9,794.90

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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.