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Finding the Fourth Proportional to 3,330, 5,005.80 and 3,089.52

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Solution

The fourth proportional to 3,330, 5,005.80 and 3,089.52 is: 4,644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,330 : 5,005.80 = 3,089.52 : x
  2. Step 2: Convert to fraction form
    3,330/5,005.80 = 3,089.52/x
  3. Step 3: Cross multiply
    3,330x = 5,005.80 × 3,089.52
  4. Step 4: Simplify right side
    3,330x = 15,465,519.22
  5. Step 5: Solve for x
    x = 15,465,519.22/3,330
  6. Step 6: Final answer
    x = 4,644.30

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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.