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Finding the Fourth Proportional to 3,690.70, 5,535.88 and 917.30

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Solution

The fourth proportional to 3,690.70, 5,535.88 and 917.30 is: 1,375.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.70 : 5,535.88 = 917.30 : x
  2. Step 2: Convert to fraction form
    3,690.70/5,535.88 = 917.30/x
  3. Step 3: Cross multiply
    3,690.70x = 5,535.88 × 917.30
  4. Step 4: Simplify right side
    3,690.70x = 5,078,074.27
  5. Step 5: Solve for x
    x = 5,078,074.27/3,690.70
  6. Step 6: Final answer
    x = 1,375.91

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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.