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Finding the Fourth Proportional to 3,454.63, 5,181.46 and 989.66

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Solution

The fourth proportional to 3,454.63, 5,181.46 and 989.66 is: 1,484.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.63 : 5,181.46 = 989.66 : x
  2. Step 2: Convert to fraction form
    3,454.63/5,181.46 = 989.66/x
  3. Step 3: Cross multiply
    3,454.63x = 5,181.46 × 989.66
  4. Step 4: Simplify right side
    3,454.63x = 5,127,883.70
  5. Step 5: Solve for x
    x = 5,127,883.70/3,454.63
  6. Step 6: Final answer
    x = 1,484.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.