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Finding the Fourth Proportional to 3,551.84, 5,327.72 and 919.11

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Solution

The fourth proportional to 3,551.84, 5,327.72 and 919.11 is: 1,378.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,551.84 : 5,327.72 = 919.11 : x
  2. Step 2: Convert to fraction form
    3,551.84/5,327.72 = 919.11/x
  3. Step 3: Cross multiply
    3,551.84x = 5,327.72 × 919.11
  4. Step 4: Simplify right side
    3,551.84x = 4,896,756.13
  5. Step 5: Solve for x
    x = 4,896,756.13/3,551.84
  6. Step 6: Final answer
    x = 1,378.66

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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.