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Finding the Fourth Proportional to 7,357.80, 11,043.90 and 3,664.20

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Solution

The fourth proportional to 7,357.80, 11,043.90 and 3,664.20 is: 5,499.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.80 : 11,043.90 = 3,664.20 : x
  2. Step 2: Convert to fraction form
    7,357.80/11,043.90 = 3,664.20/x
  3. Step 3: Cross multiply
    7,357.80x = 11,043.90 × 3,664.20
  4. Step 4: Simplify right side
    7,357.80x = 40,467,058.38
  5. Step 5: Solve for x
    x = 40,467,058.38/7,357.80
  6. Step 6: Final answer
    x = 5,499.89

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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.