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Finding the Fourth Proportional to 3,491.04, 5,228.48 and 3,465.12

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Solution

The fourth proportional to 3,491.04, 5,228.48 and 3,465.12 is: 5,189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.04 : 5,228.48 = 3,465.12 : x
  2. Step 2: Convert to fraction form
    3,491.04/5,228.48 = 3,465.12/x
  3. Step 3: Cross multiply
    3,491.04x = 5,228.48 × 3,465.12
  4. Step 4: Simplify right side
    3,491.04x = 18,117,310.62
  5. Step 5: Solve for x
    x = 18,117,310.62/3,491.04
  6. Step 6: Final answer
    x = 5,189.66

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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.