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Finding the Fourth Proportional to 3,166, 4,749.72 and 1,114

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Solution

The fourth proportional to 3,166, 4,749.72 and 1,114 is: 1,671.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166 : 4,749.72 = 1,114 : x
  2. Step 2: Convert to fraction form
    3,166/4,749.72 = 1,114/x
  3. Step 3: Cross multiply
    3,166x = 4,749.72 × 1,114
  4. Step 4: Simplify right side
    3,166x = 5,291,188.08
  5. Step 5: Solve for x
    x = 5,291,188.08/3,166
  6. Step 6: Final answer
    x = 1,671.25

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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.