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Finding the Fourth Proportional to 3,614.05, 5,420.98 and 1,666.25

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Solution

The fourth proportional to 3,614.05, 5,420.98 and 1,666.25 is: 2,499.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.05 : 5,420.98 = 1,666.25 : x
  2. Step 2: Convert to fraction form
    3,614.05/5,420.98 = 1,666.25/x
  3. Step 3: Cross multiply
    3,614.05x = 5,420.98 × 1,666.25
  4. Step 4: Simplify right side
    3,614.05x = 9,032,703.23
  5. Step 5: Solve for x
    x = 9,032,703.23/3,614.05
  6. Step 6: Final answer
    x = 2,499.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.