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Finding the Fourth Proportional to 3,614.58, 5,421.24 and 1,666.62

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Solution

The fourth proportional to 3,614.58, 5,421.24 and 1,666.62 is: 2,499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.58 : 5,421.24 = 1,666.62 : x
  2. Step 2: Convert to fraction form
    3,614.58/5,421.24 = 1,666.62/x
  3. Step 3: Cross multiply
    3,614.58x = 5,421.24 × 1,666.62
  4. Step 4: Simplify right side
    3,614.58x = 9,035,147.01
  5. Step 5: Solve for x
    x = 9,035,147.01/3,614.58
  6. Step 6: Final answer
    x = 2,499.64

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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.