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Finding the Fourth Proportional to 20,549.51, 30,834.02 and 14,234.10

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Solution

The fourth proportional to 20,549.51, 30,834.02 and 14,234.10 is: 21,357.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,549.51 : 30,834.02 = 14,234.10 : x
  2. Step 2: Convert to fraction form
    20,549.51/30,834.02 = 14,234.10/x
  3. Step 3: Cross multiply
    20,549.51x = 30,834.02 × 14,234.10
  4. Step 4: Simplify right side
    20,549.51x = 438,894,452.91
  5. Step 5: Solve for x
    x = 438,894,452.91/20,549.51
  6. Step 6: Final answer
    x = 21,357.90

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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.