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Finding the Fourth Proportional to 20,434, 30,658.38 and 10,053.04

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Solution

The fourth proportional to 20,434, 30,658.38 and 10,053.04 is: 15,083.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,434 : 30,658.38 = 10,053.04 : x
  2. Step 2: Convert to fraction form
    20,434/30,658.38 = 10,053.04/x
  3. Step 3: Cross multiply
    20,434x = 30,658.38 × 10,053.04
  4. Step 4: Simplify right side
    20,434x = 308,209,920.48
  5. Step 5: Solve for x
    x = 308,209,920.48/20,434
  6. Step 6: Final answer
    x = 15,083.19

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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.