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Finding the Fourth Proportional to 5,400, 7,448.52 and 3,825.36

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Solution

The fourth proportional to 5,400, 7,448.52 and 3,825.36 is: 5,276.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,400 : 7,448.52 = 3,825.36 : x
  2. Step 2: Convert to fraction form
    5,400/7,448.52 = 3,825.36/x
  3. Step 3: Cross multiply
    5,400x = 7,448.52 × 3,825.36
  4. Step 4: Simplify right side
    5,400x = 28,493,270.47
  5. Step 5: Solve for x
    x = 28,493,270.47/5,400
  6. Step 6: Final answer
    x = 5,276.53

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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.