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Finding the Fourth Proportional to 5,419.60, 8,116.60 and 3,678.80

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Solution

The fourth proportional to 5,419.60, 8,116.60 and 3,678.80 is: 5,509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.60 : 8,116.60 = 3,678.80 : x
  2. Step 2: Convert to fraction form
    5,419.60/8,116.60 = 3,678.80/x
  3. Step 3: Cross multiply
    5,419.60x = 8,116.60 × 3,678.80
  4. Step 4: Simplify right side
    5,419.60x = 29,859,348.08
  5. Step 5: Solve for x
    x = 29,859,348.08/5,419.60
  6. Step 6: Final answer
    x = 5,509.51

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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.