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Finding the Fourth Proportional to 3,454.93, 5,181.63 and 989.74

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Solution

The fourth proportional to 3,454.93, 5,181.63 and 989.74 is: 1,484.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.93 : 5,181.63 = 989.74 : x
  2. Step 2: Convert to fraction form
    3,454.93/5,181.63 = 989.74/x
  3. Step 3: Cross multiply
    3,454.93x = 5,181.63 × 989.74
  4. Step 4: Simplify right side
    3,454.93x = 5,128,466.48
  5. Step 5: Solve for x
    x = 5,128,466.48/3,454.93
  6. Step 6: Final answer
    x = 1,484.39

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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.