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Finding the Fourth Proportional to 3,887.58, 5,830.83 and 1,114.49

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Solution

The fourth proportional to 3,887.58, 5,830.83 and 1,114.49 is: 1,671.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.58 : 5,830.83 = 1,114.49 : x
  2. Step 2: Convert to fraction form
    3,887.58/5,830.83 = 1,114.49/x
  3. Step 3: Cross multiply
    3,887.58x = 5,830.83 × 1,114.49
  4. Step 4: Simplify right side
    3,887.58x = 6,498,416.30
  5. Step 5: Solve for x
    x = 6,498,416.30/3,887.58
  6. Step 6: Final answer
    x = 1,671.58

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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.