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Finding the Fourth Proportional to 3,655.47, 5,483.97 and 1,190.43

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Solution

The fourth proportional to 3,655.47, 5,483.97 and 1,190.43 is: 1,785.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.47 : 5,483.97 = 1,190.43 : x
  2. Step 2: Convert to fraction form
    3,655.47/5,483.97 = 1,190.43/x
  3. Step 3: Cross multiply
    3,655.47x = 5,483.97 × 1,190.43
  4. Step 4: Simplify right side
    3,655.47x = 6,528,282.41
  5. Step 5: Solve for x
    x = 6,528,282.41/3,655.47
  6. Step 6: Final answer
    x = 1,785.89

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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.