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Finding the Fourth Proportional to 3,166.70, 4,749.84 and 1,411.16

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Solution

The fourth proportional to 3,166.70, 4,749.84 and 1,411.16 is: 2,116.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.70 : 4,749.84 = 1,411.16 : x
  2. Step 2: Convert to fraction form
    3,166.70/4,749.84 = 1,411.16/x
  3. Step 3: Cross multiply
    3,166.70x = 4,749.84 × 1,411.16
  4. Step 4: Simplify right side
    3,166.70x = 6,702,784.21
  5. Step 5: Solve for x
    x = 6,702,784.21/3,166.70
  6. Step 6: Final answer
    x = 2,116.65

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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.