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Finding the Fourth Proportional to 5,629.90, 8,446.56 and 3,989.62

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Solution

The fourth proportional to 5,629.90, 8,446.56 and 3,989.62 is: 5,985.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.90 : 8,446.56 = 3,989.62 : x
  2. Step 2: Convert to fraction form
    5,629.90/8,446.56 = 3,989.62/x
  3. Step 3: Cross multiply
    5,629.90x = 8,446.56 × 3,989.62
  4. Step 4: Simplify right side
    5,629.90x = 33,698,564.71
  5. Step 5: Solve for x
    x = 33,698,564.71/5,629.90
  6. Step 6: Final answer
    x = 5,985.64

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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.