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Finding the Fourth Proportional to 2,980, 4,468.38 and 1,334.89

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Solution

The fourth proportional to 2,980, 4,468.38 and 1,334.89 is: 2,001.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980 : 4,468.38 = 1,334.89 : x
  2. Step 2: Convert to fraction form
    2,980/4,468.38 = 1,334.89/x
  3. Step 3: Cross multiply
    2,980x = 4,468.38 × 1,334.89
  4. Step 4: Simplify right side
    2,980x = 5,964,795.78
  5. Step 5: Solve for x
    x = 5,964,795.78/2,980
  6. Step 6: Final answer
    x = 2,001.61

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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.