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Finding the Fourth Proportional to 3,646.78, 5,471.03 and 1,181.60

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Solution

The fourth proportional to 3,646.78, 5,471.03 and 1,181.60 is: 1,772.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.78 : 5,471.03 = 1,181.60 : x
  2. Step 2: Convert to fraction form
    3,646.78/5,471.03 = 1,181.60/x
  3. Step 3: Cross multiply
    3,646.78x = 5,471.03 × 1,181.60
  4. Step 4: Simplify right side
    3,646.78x = 6,464,569.05
  5. Step 5: Solve for x
    x = 6,464,569.05/3,646.78
  6. Step 6: Final answer
    x = 1,772.68

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1.5x scale

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.