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Finding the Fourth Proportional to 3,661.74, 5,492.95 and 1,581.80

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Solution

The fourth proportional to 3,661.74, 5,492.95 and 1,581.80 is: 2,372.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.74 : 5,492.95 = 1,581.80 : x
  2. Step 2: Convert to fraction form
    3,661.74/5,492.95 = 1,581.80/x
  3. Step 3: Cross multiply
    3,661.74x = 5,492.95 × 1,581.80
  4. Step 4: Simplify right side
    3,661.74x = 8,688,716.89
  5. Step 5: Solve for x
    x = 8,688,716.89/3,661.74
  6. Step 6: Final answer
    x = 2,372.84

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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.