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Finding the Fourth Proportional to 3,588.60, 5,382.84 and 991.53

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Solution

The fourth proportional to 3,588.60, 5,382.84 and 991.53 is: 1,487.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.60 : 5,382.84 = 991.53 : x
  2. Step 2: Convert to fraction form
    3,588.60/5,382.84 = 991.53/x
  3. Step 3: Cross multiply
    3,588.60x = 5,382.84 × 991.53
  4. Step 4: Simplify right side
    3,588.60x = 5,337,247.35
  5. Step 5: Solve for x
    x = 5,337,247.35/3,588.60
  6. Step 6: Final answer
    x = 1,487.28

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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.