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Finding the Fourth Proportional to 5,428.80, 7,489.60 and 3,657.60

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Solution

The fourth proportional to 5,428.80, 7,489.60 and 3,657.60 is: 5,046.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,428.80 : 7,489.60 = 3,657.60 : x
  2. Step 2: Convert to fraction form
    5,428.80/7,489.60 = 3,657.60/x
  3. Step 3: Cross multiply
    5,428.80x = 7,489.60 × 3,657.60
  4. Step 4: Simplify right side
    5,428.80x = 27,393,960.96
  5. Step 5: Solve for x
    x = 27,393,960.96/5,428.80
  6. Step 6: Final answer
    x = 5,046.04

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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.