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Finding the Fourth Proportional to 3,455.46, 5,182.13 and 989.62

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Solution

The fourth proportional to 3,455.46, 5,182.13 and 989.62 is: 1,484.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.46 : 5,182.13 = 989.62 : x
  2. Step 2: Convert to fraction form
    3,455.46/5,182.13 = 989.62/x
  3. Step 3: Cross multiply
    3,455.46x = 5,182.13 × 989.62
  4. Step 4: Simplify right side
    3,455.46x = 5,128,323.44
  5. Step 5: Solve for x
    x = 5,128,323.44/3,455.46
  6. Step 6: Final answer
    x = 1,484.12

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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.