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Finding the Fourth Proportional to 3,603.75, 5,406.21 and 1,411.29

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Solution

The fourth proportional to 3,603.75, 5,406.21 and 1,411.29 is: 2,117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.75 : 5,406.21 = 1,411.29 : x
  2. Step 2: Convert to fraction form
    3,603.75/5,406.21 = 1,411.29/x
  3. Step 3: Cross multiply
    3,603.75x = 5,406.21 × 1,411.29
  4. Step 4: Simplify right side
    3,603.75x = 7,629,730.11
  5. Step 5: Solve for x
    x = 7,629,730.11/3,603.75
  6. Step 6: Final answer
    x = 2,117.16

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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.