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Finding the Fourth Proportional to 3,588.28, 5,382.18 and 991

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Solution

The fourth proportional to 3,588.28, 5,382.18 and 991 is: 1,486.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.28 : 5,382.18 = 991 : x
  2. Step 2: Convert to fraction form
    3,588.28/5,382.18 = 991/x
  3. Step 3: Cross multiply
    3,588.28x = 5,382.18 × 991
  4. Step 4: Simplify right side
    3,588.28x = 5,333,740.38
  5. Step 5: Solve for x
    x = 5,333,740.38/3,588.28
  6. Step 6: Final answer
    x = 1,486.43

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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.