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Finding the Fourth Proportional to 34,297, 51,403 and 20,242.80

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Solution

The fourth proportional to 34,297, 51,403 and 20,242.80 is: 30,339.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,297 : 51,403 = 20,242.80 : x
  2. Step 2: Convert to fraction form
    34,297/51,403 = 20,242.80/x
  3. Step 3: Cross multiply
    34,297x = 51,403 × 20,242.80
  4. Step 4: Simplify right side
    34,297x = 1,040,540,648.40
  5. Step 5: Solve for x
    x = 1,040,540,648.40/34,297
  6. Step 6: Final answer
    x = 30,339.12

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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.