Home / 2,114.68-3,159.96-1,584.12

Finding the Fourth Proportional to 2,114.68, 3,159.96 and 1,584.12

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Solution

The fourth proportional to 2,114.68, 3,159.96 and 1,584.12 is: 2,367.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.68 : 3,159.96 = 1,584.12 : x
  2. Step 2: Convert to fraction form
    2,114.68/3,159.96 = 1,584.12/x
  3. Step 3: Cross multiply
    2,114.68x = 3,159.96 × 1,584.12
  4. Step 4: Simplify right side
    2,114.68x = 5,005,755.84
  5. Step 5: Solve for x
    x = 5,005,755.84/2,114.68
  6. Step 6: Final answer
    x = 2,367.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.