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Finding the Fourth Proportional to 3,588.90, 5,382.74 and 991.84

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Solution

The fourth proportional to 3,588.90, 5,382.74 and 991.84 is: 1,487.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.90 : 5,382.74 = 991.84 : x
  2. Step 2: Convert to fraction form
    3,588.90/5,382.74 = 991.84/x
  3. Step 3: Cross multiply
    3,588.90x = 5,382.74 × 991.84
  4. Step 4: Simplify right side
    3,588.90x = 5,338,787.45
  5. Step 5: Solve for x
    x = 5,338,787.45/3,588.90
  6. Step 6: Final answer
    x = 1,487.58

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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.