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Finding the Fourth Proportional to 20,585.72, 30,834.84 and 11,798.84

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Solution

The fourth proportional to 20,585.72, 30,834.84 and 11,798.84 is: 17,673.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,585.72 : 30,834.84 = 11,798.84 : x
  2. Step 2: Convert to fraction form
    20,585.72/30,834.84 = 11,798.84/x
  3. Step 3: Cross multiply
    20,585.72x = 30,834.84 × 11,798.84
  4. Step 4: Simplify right side
    20,585.72x = 363,815,343.59
  5. Step 5: Solve for x
    x = 363,815,343.59/20,585.72
  6. Step 6: Final answer
    x = 17,673.19

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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.