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Finding the Fourth Proportional to 5,300.61, 7,949.05 and 2,137.11

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Solution

The fourth proportional to 5,300.61, 7,949.05 and 2,137.11 is: 3,204.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.61 : 7,949.05 = 2,137.11 : x
  2. Step 2: Convert to fraction form
    5,300.61/7,949.05 = 2,137.11/x
  3. Step 3: Cross multiply
    5,300.61x = 7,949.05 × 2,137.11
  4. Step 4: Simplify right side
    5,300.61x = 16,987,954.50
  5. Step 5: Solve for x
    x = 16,987,954.50/5,300.61
  6. Step 6: Final answer
    x = 3,204.91

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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.