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Finding the Fourth Proportional to 3,455.16, 5,181.22 and 989.42

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Solution

The fourth proportional to 3,455.16, 5,181.22 and 989.42 is: 1,483.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.16 : 5,181.22 = 989.42 : x
  2. Step 2: Convert to fraction form
    3,455.16/5,181.22 = 989.42/x
  3. Step 3: Cross multiply
    3,455.16x = 5,181.22 × 989.42
  4. Step 4: Simplify right side
    3,455.16x = 5,126,397.75
  5. Step 5: Solve for x
    x = 5,126,397.75/3,455.16
  6. Step 6: Final answer
    x = 1,483.69

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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.