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Finding the Fourth Proportional to 3,989.60, 5,509 and 2,419.80

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Solution

The fourth proportional to 3,989.60, 5,509 and 2,419.80 is: 3,341.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.60 : 5,509 = 2,419.80 : x
  2. Step 2: Convert to fraction form
    3,989.60/5,509 = 2,419.80/x
  3. Step 3: Cross multiply
    3,989.60x = 5,509 × 2,419.80
  4. Step 4: Simplify right side
    3,989.60x = 13,330,678.20
  5. Step 5: Solve for x
    x = 13,330,678.20/3,989.60
  6. Step 6: Final answer
    x = 3,341.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.