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Finding the Fourth Proportional to 3,650.64, 5,476.77 and 1,053.38

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Solution

The fourth proportional to 3,650.64, 5,476.77 and 1,053.38 is: 1,580.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.64 : 5,476.77 = 1,053.38 : x
  2. Step 2: Convert to fraction form
    3,650.64/5,476.77 = 1,053.38/x
  3. Step 3: Cross multiply
    3,650.64x = 5,476.77 × 1,053.38
  4. Step 4: Simplify right side
    3,650.64x = 5,769,092.60
  5. Step 5: Solve for x
    x = 5,769,092.60/3,650.64
  6. Step 6: Final answer
    x = 1,580.30

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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.