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Finding the Fourth Proportional to 3,454.63, 5,181.80 and 989.35

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Solution

The fourth proportional to 3,454.63, 5,181.80 and 989.35 is: 1,483.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.63 : 5,181.80 = 989.35 : x
  2. Step 2: Convert to fraction form
    3,454.63/5,181.80 = 989.35/x
  3. Step 3: Cross multiply
    3,454.63x = 5,181.80 × 989.35
  4. Step 4: Simplify right side
    3,454.63x = 5,126,590.39
  5. Step 5: Solve for x
    x = 5,126,590.39/3,454.63
  6. Step 6: Final answer
    x = 1,483.98

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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.