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Finding the Fourth Proportional to 3,712.71, 5,569.27 and 1,080.21

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Solution

The fourth proportional to 3,712.71, 5,569.27 and 1,080.21 is: 1,620.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.71 : 5,569.27 = 1,080.21 : x
  2. Step 2: Convert to fraction form
    3,712.71/5,569.27 = 1,080.21/x
  3. Step 3: Cross multiply
    3,712.71x = 5,569.27 × 1,080.21
  4. Step 4: Simplify right side
    3,712.71x = 6,015,978.45
  5. Step 5: Solve for x
    x = 6,015,978.45/3,712.71
  6. Step 6: Final answer
    x = 1,620.37

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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.