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Finding the Fourth Proportional to 5,712.47, 7,884.29 and 3,228.47

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Solution

The fourth proportional to 5,712.47, 7,884.29 and 3,228.47 is: 4,455.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.47 : 7,884.29 = 3,228.47 : x
  2. Step 2: Convert to fraction form
    5,712.47/7,884.29 = 3,228.47/x
  3. Step 3: Cross multiply
    5,712.47x = 7,884.29 × 3,228.47
  4. Step 4: Simplify right side
    5,712.47x = 25,454,173.79
  5. Step 5: Solve for x
    x = 25,454,173.79/5,712.47
  6. Step 6: Final answer
    x = 4,455.90

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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.