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Finding the Fourth Proportional to 3,661.17, 5,491.74 and 887.84

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Solution

The fourth proportional to 3,661.17, 5,491.74 and 887.84 is: 1,331.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.17 : 5,491.74 = 887.84 : x
  2. Step 2: Convert to fraction form
    3,661.17/5,491.74 = 887.84/x
  3. Step 3: Cross multiply
    3,661.17x = 5,491.74 × 887.84
  4. Step 4: Simplify right side
    3,661.17x = 4,875,786.44
  5. Step 5: Solve for x
    x = 4,875,786.44/3,661.17
  6. Step 6: Final answer
    x = 1,331.76

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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.