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Finding the Fourth Proportional to 3,605.84, 5,406.57 and 1,411.94

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Solution

The fourth proportional to 3,605.84, 5,406.57 and 1,411.94 is: 2,117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.84 : 5,406.57 = 1,411.94 : x
  2. Step 2: Convert to fraction form
    3,605.84/5,406.57 = 1,411.94/x
  3. Step 3: Cross multiply
    3,605.84x = 5,406.57 × 1,411.94
  4. Step 4: Simplify right side
    3,605.84x = 7,633,752.45
  5. Step 5: Solve for x
    x = 7,633,752.45/3,605.84
  6. Step 6: Final answer
    x = 2,117.05

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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.